Jan Van Mill
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Mathematics
Jan Van Mill's Degrees
- PhD Mathematics University of Amsterdam
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(Suggest an Edit or Addition)Jan Van Mill's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- An Introduction to βω (1984) (555)
- The Infinite-Dimensional Topology of Function Spaces (2001) (278)
- Open Problems in Topology (1990) (242)
- Infinite-dimensional topology - prerequisites and introduction (1988) (236)
- North-Holland Mathematical Library (2005) (130)
- Infinite-dimensional topology (2002) (100)
- Recent progress in general topology (2002) (88)
- Classes defined by stars and neighbourhood assignments (2007) (82)
- Supercompactness and Wallman spaces (1977) (67)
- Selections and orderability (1981) (53)
- A Countably Compact Topological Group H Such that H × H is not Countably Compact (1991) (51)
- On the G-compactifications of the rational numbers (2009) (50)
- A fake topological Hilbert space (1982) (48)
- CONCERNING CONNECTED, PSEUDOCOMPACT ABELIAN GROUPS (1989) (44)
- Erdos Space and Homeomorphism Groups of Manifolds (2010) (43)
- Selections that characterize topological completeness (1996) (40)
- On nowhere dense closed $P$-sets (1980) (40)
- Groups with only resolvable group topologies (1994) (38)
- A Note on the Effros Theorem (2004) (38)
- Absorbing systems in infinite-dimensional manifolds (1993) (37)
- The space of infinite-dimensional compacta and other topological copies of (lf2)ω (1992) (35)
- Weak $P$-points in Čech-Stone compactifications (1982) (35)
- Sixteen topological types in (1982) (32)
- Strong local homogeneity does not imply countable dense homogeneity (1982) (32)
- On the extent of star countable spaces (2011) (32)
- Complete Erdős space is unstable (2004) (32)
- Characterization of some zero-dimensional separable metric spaces (1981) (31)
- On the existence of free topological groups (1988) (30)
- Homeomorphism groups of manifolds and Erdos space (2004) (30)
- Homogeneous spaces and transitive actions by Polish groups (2008) (29)
- Descriptive complexity of function spaces (1985) (28)
- Parovičenko’s characterization of - implies CH (1978) (27)
- Spaces without remote points. (1983) (27)
- Characterizing Complete Erdős Space (2009) (27)
- On nowhere dense ccc $P$-sets (1980) (26)
- The Baire category theorem in products of linear spaces and topological groups (1986) (26)
- Discrete sets and the maximal totally bounded group topology (1991) (26)
- Function spaces of low Borel complexity (1985) (26)
- An extremally disconnected Dowker space (1982) (25)
- A topological group having no homeomorphisms other than translations (1983) (25)
- On the cardinality of power homogeneous compacta (2005) (24)
- Borel sets in compact spaces: some Hurewicz type theorems (1984) (24)
- Parovicenko's Characterization of βω- ω Implies CH (1978) (23)
- Topological equivalence of certain function spaces (1987) (22)
- Proper Pseudocompact Subgroups of Pseudocompact Abelian Groups (1994) (21)
- Domain invariance in infinite-dimensional linear spaces (1987) (21)
- AN EXTERNAL CHARACTERIZATION OF SPACES WHICH ADMIT BINARY NORMAL SUBBASES. (1978) (21)
- On the character and π-weight of homogeneous compacta (2003) (21)
- Subspaces of basically disconnected spaces or quotients of countably complete Boolean algebras (1980) (21)
- Measures on Corson compact spaces (1995) (21)
- A new bound on the cardinality of power homogeneous compacta (2007) (20)
- Homogeneous subsets of the real line (1982) (20)
- A rigid space for which × is homogeneous; an application of infinite-dimensional topology (1981) (19)
- Convexity preserving mappings in subbase convexity theory (1978) (19)
- On an internal property of absolute retracts, II (1982) (19)
- A homogeneous Eberlein compact space which is not metrizable (1982) (19)
- Topological Homogeneity (18)
- Some topological groups with, and some without, proper dense subgroups (1991) (18)
- Extremal pseudocompact abelian groups are compact metrizable (2007) (18)
- Superextensions of metrizable continua are Hilbert cubes (1980) (17)
- There Can be C * -Embedded Dense Proper Subspaces in ?- ω (1989) (17)
- Dimensionsgrad for locally connected Polish spaces. (2000) (17)
- Countable dense homogeneity and λ-sets (2014) (17)
- Countably compact groups without non-trivial convergent sequences (2020) (16)
- Sierpiński's technique and subsets of R (1992) (16)
- Baire 1 functions which are not countable unions of continuous functions (1995) (15)
- Remarks on hereditarily indecomposable continua (2000) (15)
- Subbases, convex sets, and hyperspaces. (1981) (15)
- Three-point sets (2001) (14)
- The superextension of the closed unit interval is homeomorphic to the Hilbert cube (1979) (14)
- On the cardinality of countable dense homogeneous spaces (2013) (14)
- A homogeneous extremally disconnected countably compact space (1987) (14)
- On topological and linear homeomorphisms of certain function spaces (1989) (14)
- Easier proofs of coloring theorems (1999) (13)
- The compactness number of a compact topological space I (1980) (13)
- A boojum and other snarks (1980) (13)
- Linear spaces, absolute retracts, and the compact extension property (1988) (13)
- On one-point connectifications (2007) (12)
- Characterization of a certain subset of the Cantor set (1983) (12)
- Zero-dimensional countable dense unions of Z-sets in the Hilbert cube (1983) (12)
- A topological property enjoyed by near points but not by large points (1980) (12)
- Groups without convergent sequences (1996) (12)
- On the product of homogeneous spaces (1985) (12)
- Subbase characterizations of compact topological spaces (1979) (11)
- KRULL DIMENSION IN MODAL LOGIC (2017) (11)
- On topological groups with a first-countable remainder, II (2015) (11)
- Analytic groups and pushing small sets apart (2009) (11)
- By their fruits ye shall know them: some remarks on the interaction of general topology with other areas of mathematics (1999) (11)
- Classification of finite-dimensional universal pseudo-boundaries and pseudo-interiors (1992) (11)
- On countable dense and strong n-homogeneity (2011) (11)
- Hausdorff measures and two point set extensions (1998) (11)
- Strong local homogeneity and coset spaces (2005) (10)
- Two point set extensions- a counterexample (1997) (10)
- AR-maps obtained from cell-like maps (1981) (10)
- Universal frames (2013) (10)
- Hyperspaces of Peano continua of euclidean spaces (1993) (10)
- Variations on ω-boundedness (2013) (10)
- Partitioning spaces into homeomorphic rigid parts (1985) (10)
- A method for constructing ordered continua (1985) (10)
- General Topology, in Particular Dimension Theory, in the Netherlands: The Decisive Influence of Brouwer’s Intuitionism (1997) (10)
- Recent classification and characterization results in geometric topology (1990) (9)
- PROPERTY C AND FINE HOMOTOPY EQUIVALENCES (1984) (9)
- An easy proof that βN—N —{p} is not normal (1986) (9)
- An example of _{}-equivalent spaces which are not *_{}-equivalent (1993) (9)
- Another counterexample in ANR theory (1986) (9)
- CONTINUA THAT ARE LOCALLY A BUNDLE OF ARCS (1982) (8)
- A complete C-space whose square is strongly infinite-dimensional (2006) (8)
- Increasing chains of ideals and orbit closures in (1992) (8)
- On mappings of compact spaces into Cartesian spaces (2000) (8)
- Sums of almost zero-dimensional spaces (2005) (8)
- A counterexample in ANR theory (1981) (8)
- On the Group of Homeomorphisms of the Real Line That Map the Pseudoboundary Onto Itself (2006) (8)
- A boundary set for the Hilbert cube containing no arcs (1983) (8)
- Some aspects of dimension theory for topological groups (2018) (8)
- Homeomorphism groups of homogeneous compacta need not be minimal (2012) (8)
- Egoroff, σ, and convergence properties in some archimedean vector lattices (2015) (7)
- Orderability form selections: Another solution to the orderability problem (1984) (7)
- On countable dense and strong local homogeneity (2005) (7)
- A countable dense homogeneous space with a dense rigid open subspace (2008) (7)
- A uniquely homogeneous space need not be a topological group (1984) (7)
- Local contractibility, cell-like maps, and dimension (1986) (7)
- Countably compact spaces all countable subsets of which are scattered (1981) (7)
- A Dowker group (1985) (7)
- The Homeomorphism Extension Theorem for βω\ω (1993) (7)
- Embeddings into P(N)/fin and extension of automorphisms (2001) (7)
- Selections and near-selections in metric linear spaces without local convexity (2006) (7)
- Decompositions of rigid spaces (1983) (7)
- A compact HL-space need not have a monolithic hyperspace (1998) (7)
- ON THE CHARACTER OF SUPERCOMPACT SPACES (1978) (7)
- Hyperspaces of infinite-dimensional compacta (1993) (7)
- SUPERCOMPACT SPACES (2013) (6)
- Subbase characterizations of subspaces of compact trees (1982) (6)
- Homogeneous subsets of the real line which do not admit the structure of a topological group (1982) (6)
- Disjoint embeddings of compacta (1994) (6)
- A compact F-space not co-absolute with ? (1983) (6)
- On spaces without non-trivial subcontinua and the dimension of their products (2004) (6)
- On topological groups with a first-countable remainder, III (2014) (6)
- Intermediate dimensions of products (2006) (6)
- Covering compacta by discrete subspaces (2007) (6)
- Tight points and countable fan-tightness (1997) (6)
- Compact condensations and compactifications (2019) (6)
- Normal spaces and fixed points of Čech-Stone extensions (1998) (6)
- On n -to-one continuous images of β ℕ (2007) (5)
- On Countable Dense and n -homogeneity (2013) (5)
- Equality of the Lebesgue and the inductive dimension functions for compact spaces with a uniform convexity (1986) (5)
- On nonseparable Erdös spaces (2008) (5)
- A locally connected continuum without convergent sequences (2002) (5)
- Topological groups with a bc-base (2015) (5)
- Projections of planar Cantor sets in potential theory (1997) (5)
- A New Proof of the McKinsey–Tarski Theorem (2018) (5)
- On $\sigma$-countably tight spaces (2016) (5)
- A note on Ford's example (2004) (5)
- Admissibility, homeomorphism extension and the AR-property in topological linear spaces (1992) (5)
- On the existence of weakly $n$-dimensional spaces (1991) (5)
- An infinite-dimensional pre-Hilbert space all bounded linear operators of which are simple (1987) (5)
- Homogeneity and generalizations of 2-point sets (2014) (5)
- Countable Dense Homogeneous Rimcompact Spaces and Local Connectivity (2015) (5)
- Open problems on countable dense homogeneity (2018) (5)
- There is no compactification theorem for the small inductive dimension (1982) (5)
- An almost fixed point theorem for metrizable continua (1983) (4)
- Negligible sets in Erdős spaces (2012) (4)
- Extremal pseudocompact Abelian groups: A unified treatment (2013) (4)
- A counterexample concerning line-free groups and complete Erdös space (2006) (4)
- Every crowded pseudocompact ccc space is resolvable (2016) (4)
- A separable normal topological group which is not Lindelöf (1985) (4)
- The reduced measure algebra and a K1-space which is not K0 (1982) (4)
- Every $$k$$k-separable Čech-complete space is subcompact (2015) (4)
- Every Kunen-like L-space has a non-monolithic hyperspace (1997) (4)
- How many ω-bounded subgroups? (1997) (4)
- Homeomorphism groups and homogeneous spaces (1984) (4)
- An example concerning the Menger-Urysohn formula (2010) (4)
- A Pseudocompact Completely Regular Frame which is not Spatial (2014) (4)
- Topological equivalence of discontinuous norms (2002) (4)
- OPEN PROBLEMS IN VAN DOUWEN'S PAPERS (1994) (4)
- Inductive čech completeness and dimension (1982) (4)
- Monotone normality, measures and hyperspaces (1998) (4)
- Compactifications of locally compact spaces with zero-dimensional remainder (1978) (4)
- Nonhomogeneity of remainders (2016) (3)
- INVOLUTIONS OF ` AND s WITH UNIQUE FIXED POINTS (2020) (3)
- Homogeneous spaces and transitive actions by analytic groups (2007) (3)
- Closed Gδ subsets of supercompact Hausdorff spaces (1979) (3)
- A Peano continuum homeomorphic to its own square but not to its countable infinite product (1980) (3)
- Nonnormality of remainders of some topological groups (2016) (3)
- A homeomorphism on $s$ not conjugate to an extendable homeomorphism (1989) (3)
- An AR-map whose range is more infinite-dimensional than its domain (1992) (3)
- $\beta \omega -\omega $ is not first order homogeneous (1981) (3)
- On uniquely homogeneous spaces, I (2012) (3)
- Automorphism groups for measurable spaces (1988) (3)
- THE EXISTENCE OF A CONNECTED MEAGER IN ITSELF CDH SPACE IS INDEPENDENT OF ZFC (2016) (3)
- On Dow's solution of Bell's problem (2001) (3)
- Representing countable groups by homeomorphism groups in Hilbert space (1982) (3)
- Are there countable topological combinatory algebras (1986) (3)
- HOMEOMORPHISM GROUPS AND METRISATION OF MANIFOLDS (2012) (3)
- On a generalization of Lyapounov's theorem (1996) (3)
- Dense extremally disconnected subspaces (1994) (3)
- Involutions of $\ell ^2$ and $s$ with unique fixed points (2020) (3)
- On modal logics arising from scattered locally compact Hausdorff spaces (2019) (3)
- Covering dimension and finite-to-one maps (2009) (2)
- Retral spaces and continua with the fixed point property (2006) (2)
- A theorem on remainders of topological groups (2017) (2)
- Not all homogeneous Polish spaces are products (2006) (2)
- ON UNIQUELY HOMOGENEOUS SPACES, II (2014) (2)
- On the dimension of Hilbert space remainders (1996) (2)
- The double density spectrum of a topological space (2021) (2)
- TYCHONOFF HED-SPACES AND ZEMANIAN EXTENSIONS OF S4.3 (2018) (2)
- Sum theorems for Ohio completeness (2008) (2)
- Is Ω*– {u} Absolutely Countably Compact? (1995) (2)
- Variations on countable tightness (2017) (2)
- Homogeneous continua that are not separated by arcs (2018) (2)
- When U(?) Can be Mapped Onto U(?) (1980) (2)
- A theorem on function spaces (1989) (2)
- Splitting Tychonoff cubes into homeomorphic and homogeneous parts (2020) (2)
- Compactifications in which the collection of multiple points is Lindelöf semi-stratifiable (1976) (2)
- Superextensions which are Hilbert cubes (1976) (2)
- Chapter 21 – Homogeneous compacta (2007) (2)
- On the supremum of the pseudocompact group topologies (2008) (2)
- The existence of a connected meager in itself space is independent of (2016) (2)
- Notes on Retracts of Coset Spaces (2005) (1)
- Not Every K1-Embedded Subspace is K0-Embedded (1979) (1)
- Covering Tychonoff cubes by topological groups (2020) (1)
- There are many Kunen compact L-spaces (1999) (1)
- A Nonsupercompact Continuous Image of a Supercompact Space (2004) (1)
- Ohio completeness and products (2008) (1)
- MANY WEAK P-SETS (2021) (1)
- A homogeneous space of point-countable but not of countable type (2007) (1)
- When () can be mapped onto () (1980) (1)
- A compact F-space with noncoinciding dimensions (2012) (1)
- Cp(X) is not Gσδ: a simple proof. (1999) (1)
- Extending monotone mappings (1998) (1)
- A remark on the separable extension property (1987) (1)
- UNGAR ’ S THEOREMS ON COUNTABLE DENSE HOMOGENEITY REVISITED (2008) (1)
- A short proof of Toru\'nczyk's Characterization Theorems (2013) (1)
- On maps preserving connectedness and/or compactness (2018) (1)
- Jan Van Mill (2001) (1)
- On the double density spectra of compact spaces (2023) (1)
- TOPOLOGICAL AND LOGICAL EXPLORATIONS OF KRULL DIMENSION (2016) (1)
- Plane continua and totally disconnected sets of buried points (2011) (1)
- An example of tp∗-equivalent spaces which are not tp-equivalent (1998) (1)
- Shorter Notes: ?- ? is Not First Order Homogeneous (1981) (1)
- A pseudo-interior of $\lambda I$ (1978) (1)
- Topology Proceedings 32 (2008) pp. 227-237: A note on linearly Lindelof spaces and dual properties (2008) (1)
- Local properties and maximal Tychonoff connected spaces (2006) (1)
- BOOLEAN ALGEBRAS AND RAISING MAPS TO ZERO-DIMENSIONAL SPACES (1983) (1)
- CHARACTERIZING EXISTENCE OF A MEASURABLE CARDINAL VIA MODAL LOGIC (2021) (1)
- UNIONS OF F-SPACES (2013) (1)
- Monotone partitions and almost partitions (2014) (1)
- ON n-TO-ONE CONTINUOUS IMAGES OF βN (2007) (0)
- North-Holland 21 CONCERNING CONNECTED , PSEUDOCOMPACT ABELIAN GROUPS (2001) (0)
- THE MCKINSEY–TARSKI THEOREM FOR LOCALLY COMPACT ORDERED SPACES (2021) (0)
- Erdös space and semi-continuous functions (2007) (0)
- Vitaly Vitalievich Fedorchuk (1942–2012) (2015) (0)
- On the Separation Dimension of $K_\omega$ (2013) (0)
- Topology Proceedings 3 (1978) pp. 227-236: ON THE CHARACTER OF SUPERCOMPACT SPACES (2007) (0)
- Homogeneity and rigidity in Erdös spaces (2018) (0)
- Nonhomogeneity of remainders, III (2017) (0)
- Professor Jun-iti Nagata (1925–2007) (2012) (0)
- When $U(\kappa )$ can be mapped onto $U(\omega )$ (1980) (0)
- UvA-DARE (Digital Academic Repository) Connected and/or topological group pd-examples CONNECTED AND/OR TOPOLOGICAL GROUP PD-EXAMPLES (2018) (0)
- In memoriam: Horst Herrlich: September 11, 1937 (Berlin) – March 13, 2015 (Bremen) (2016) (0)
- Independent matrices and R-points (2004) (0)
- Independent matrices and R-points (2004) (0)
- Problems on $\beta\mathbb{N}$ (2022) (0)
- Alexander Vladimirovich Arhangel'skii (2020) (0)
- κ-Ohio completeness (2009) (0)
- Every totally disconnected separable metrizable topological group is an autohomeomorphism group (1990) (0)
- Pavel Sergeevich Aleksandrov ☆: (May 7, 1896–November 16, 1982) (2017) (0)
- A method for constructing ordered continua: Published in this journal, volume 21 (1985) pp. 35-49 (1986) (0)
- Topology Proceedings 33 (2009) pp. 153-161: Homogeneous spaces and transitive actions by $\aleph_0$-bounded groups (2008) (0)
- P-POINTS IN CECH-STONE COMPACTIFICATIONS (2010) (0)
- UvA-DARE (Digital Academic Repository) A homogeneous space whose complement is rigid (2018) (0)
- UvA-DARE ( Digital Academic Repository ) Connected and / or topological group pd-examples Juhász (2018) (0)
- Compositio Mathematica a Pseudo-interior of 03bbi* (2006) (0)
- – International Conference on Topology , Messina ( ICTM 2015 ) A theorem on remainders of topological groups (2015) (0)
- Are there countable topological lambda algebras (1986) (0)
- A note on an unusual characterization of the pseudo-arc (2015) (0)
- Modal Logics of Tychonoff HED-spaces: Invited Presentation at the Ninth Workshop on Methods for Modalities (2017) (0)
- Homogeneous spaces and transitive actions by ℵ_0-bounded groups (2009) (0)
- FUNCTION SPACES AND POINTS IN ˇCECH-STONE REMAINDERS (2022) (0)
- Some realcompact spaces (2022) (0)
- Nonhomogeneity of remainders, II (2015) (0)
- William Wistar Comfort (1933-2016): In Memoriam (2019) (0)
- Properties of homogenous spaces (2007) (0)
- A compactification problem of J. De Groot (1985) (0)
- Relations betweenβX∖X and a certain subspace of λX (1977) (0)
- On the Separation Dimension of K ω by Yasunao HATTORI (2013) (0)
- Universal autohomeomorphisms of $\mathbb{N}^*$ (2021) (0)
- Alan Dow (2016) (0)
- Every Hausdorff compactification of a locally compact separable space is a ${ m GA}$ compactification (1977) (0)
- Topological structures II : proceedings of the symposium in Amsterdam, October 31 - November 2, 1978 (1979) (0)
- Nagata's contributions to dimension theory (2010) (0)
- A Function Space on a Metrizable Continuum, not Uniformly Homeomorphic to its Own Square (2001) (0)
- on the International Conference on Set-Theoretic Topology and its Applications , Yokohama 2015 Nonnormality of Čech – Stone-remainders of topological groups (2017) (0)
- THE COMPACT EXTENSION PROPERTY (2010) (0)
- A NEW PROOF OF THE (2017) (0)
- Some examples related to colorings (2000) (0)
- Topology Proceedings (2008) (0)
- An Introduction to F3w (2011) (0)
- L.E.J. Brouwer, fifty years later (2019) (0)
- UNIVERSAL BASED-FREE INVOLUTIONS (2020) (0)
- Almost disjoint families of connected sets (2005) (0)
- List of Open Problems and Questions (2002) (0)
- Countable dense homogeneity and $\lambda$-sets. (2018) (0)
- Stability of a Fake Topological Hilbert Space (1991) (0)
- On colorings of topological groups (1997) (0)
- f-9 – Topological Characterizations of Separable Metrizable Zero-Dimensional Spaces (2003) (0)
- On nowhere first-countable compact spaces with countable $\pi$-weight (2015) (0)
- PROBLEMS ON COUNTABLE DENSE HOMOGENEITY (2016) (0)
- Conjugacy classes of autohomeomorphisms of $\mathbb{N}^*$ (2021) (0)
- Connected and/or topological group pd-examples (2017) (0)
- A homogeneous space whose complement is rigid Medini (2018) (0)
- North-Holland rope ens (2001) (0)
- William Adkins A Note on the Effros Theorem (2004) (0)
- Topology Proceedings Volume Summer ON COLORINGS OF TOPOLOGICAL GROUPS (2004) (0)
- F U N D a M E N T a Mathematicae 201 (2008) (2008) (0)
- INFINITE POWERS AND (2017) (0)
- ω-far points in large spaces (2003) (0)
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