Jan Van Mill

Jan Van Mill's AcademicInfluence.com Rankings

Jan Van Mill

Mathematics

#6878

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#9445

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Measure Theory

#1682

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#2069

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Mathematics

Jan Van Mill's Degrees

PhD Mathematics University of Amsterdam

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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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