Alexander Dranishnikov

Alexander Dranishnikov's AcademicInfluence.com Rankings

Mathematics

#7270

World Rank

#9912

Historical Rank

Algebraic Topology

#37

World Rank

#47

Historical Rank

Topology

#54

World Rank

#79

Historical Rank

Measure Theory

#3004

World Rank

#3569

Historical Rank

mathematics Degrees

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Mathematics

Alexander Dranishnikov's Degrees

PhD Mathematics Moscow State University

Why Is Alexander Dranishnikov Influential?

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According to Wikipedia, Alexander Nikolaevich Dranishnikov is a Russian-American mathematician, focusing in geometry and topology, currently a Distinguished Professor at the University of Florida. In 1998 he was an Invited Speaker at the International Congress of Mathematicians in Berlin. In 2012 he became one of the inaugural fellows of the American Mathematical Society.

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Alexander Dranishnikov'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

Asymptotic Dimension (2007) (164)
Asymptotic topology (1999) (126)
Homological dimension theory (1988) (113)
On asymptotic dimension of groups (2000) (96)
Every Coxeter group acts amenably on a compact space (1999) (89)
Asymptotic dimension of discrete groups (2006) (85)
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory (2004) (84)
Universal spaces for asymptotic dimension (2002) (84)
On the Higson corona of uniformly contractible spaces (1998) (83)
COHOMOLOGICAL DIMENSION THEORY OF COMPACT METRIC SPACES (2005) (79)
On Asymptotic Dimension of Groups Acting on Trees (2001) (69)
Asymptotic dimension in Bedlewo (2005) (58)
Uniform Embeddings into Hilbert Space and a Question of Gromov (2002) (57)
Large Riemannian manifolds which are flexible (2003) (54)
On hypersphericity of manifolds with finite asymptotic dimension (2002) (54)
ON A PROBLEM OF P. S. ALEKSANDROV (1989) (49)
An etale approach to the Novikov conjecture (2005) (48)
Small values of the Lusternik-Schnirelmann category for manifolds (2008) (43)
Embedding of hyperbolic groups into products of binary trees (2007) (42)
Extension theory of separable metrizable spaces with applications to dimension theory (2000) (41)
Asymptotic dimension, decomposition complexity, and Haver's property C (2013) (40)
Boundaries of Coxeter groups and simplicial complexes with given links (1999) (39)
UNIVERSAL MENGER COMPACTA AND UNIVERSAL MAPPINGS (1987) (38)
Absolute extensors in dimension n and dimension-raising n-soft maps (1984) (37)
On the mapping intersection problem. (1996) (37)
On the Berstein–Svarc theorem in dimension 2 (2007) (36)
On asymptotic Assouad–Nagata dimension (2006) (34)
On the virtual cohomological dimensions of Coxeter groups (1997) (34)
THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX (1995) (33)
Light maps and extensional dimension (1997) (32)
On intersection of compacta in Euclidean space. II (1991) (31)
Topological complexity of wedges and covering maps (2014) (30)
EXTENSION OF MAPPINGS INTO $ \mathrm{CW}$-COMPLEXES (1993) (29)
Cohomological dimension with respect to perfect groups (1996) (28)
Groups with a Polynomial Dimension Growth (2004) (26)
On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space (2000) (25)
POSITIVE SCALAR CURVATURE OF (2010) (24)
On a formula for the asymptotic dimension of free products (2004) (22)
Transversal intersection formula for compacta (1998) (22)
On the Higson-Roe corona (1997) (22)
On Bestvina-Mess Formula (2005) (22)
Cohomological approach to asymptotic dimension (2006) (21)
The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces (2015) (21)
On Gromov’s scalar curvature conjecture (2009) (21)
ON FREE ACTIONS OF ZERO-DIMENSIONAL COMPACT GROUPS (1989) (19)
On asymptotic dimension of amalgamated products and right-angled Coxeter groups (2007) (18)
Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $4k-1$ and more (2003) (18)
On macroscopic dimension of rationally essential manifolds (2010) (18)
$K$-theory of Eilenberg-Mac Lane spaces and cell-like mapping problem (1993) (17)
On boundaries of hyperbolic Coxeter groups (2001) (17)
Cell-like maps. The problem of raising dimension (1986) (17)
On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group (2007) (16)
On topological complexity of twisted products (2013) (16)
Aperiodic colorings and tilings of Coxeter groups (2006) (15)
ON HOMOLOGICAL DIMENSION MODULO p (1988) (15)
Which compacta are noncommutative ARs (2009) (15)
Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings (2005) (14)
Compact group actions that raise dimension to infinity (1997) (14)
On the dimension growth of groups (2010) (13)
On compacta that intersect unstably in Euclidean space (1992) (13)
The Lusternik-Schnirelmann category and the fundamental group (2009) (12)
The LS-category of the product of lens spaces (2014) (12)
Rational homology manifolds and rational resolutions (1999) (12)
Macroscopic dimension and essential manifolds (2011) (11)
Extension of maps to nilpotent spaces. II (2002) (11)
Cell-like maps and aspherical compacta (1996) (11)
Generalized cohomological dimension of compact metric spaces (1990) (11)
A fibration that does not accept two disjoint many-valued sections (1990) (11)
On the LS-category and topological complexity of a connected sum (2017) (11)
ANOSOV THEOREM FOR COINCIDENCES ON SPECIAL SOLVMANIFOLDS OF TYPE (R) (2011) (10)
Stable cohomotopy dimension and weakly infinite dimensional spaces (1992) (10)
On Hypereuclidean Manifolds (2006) (10)
The topological complexity of the free product (2017) (10)
On Chogoshvili’s conjecture (1997) (10)
On topological complexity of hyperbolic groups (2019) (10)
Embedding of Coxeter groups in a product of trees (2004) (10)
On macroscopic dimension of universal coverings of closed manifolds (2013) (9)
Extension of Maps to Nilpotent Spaces (2001) (9)
On topological complexity of non-orientable surfaces (2017) (9)
On dimension of product of groups (2019) (8)
Small values of Lusternik-Schnirelmann and systolic categories for manifolds (2007) (8)
Q-bundles without disjoint sections (1988) (8)
Dimension of the product and classical formulae of dimension theory (2011) (7)
On Alexandroff theorem for general Abelian groups (2001) (7)
Many-valued absolute retracts and absolute extensors in dimensions 0 and 1 (1984) (7)
The power substitution for rings of complex and real functions on compact metric spaces (1995) (6)
On Gromov's positive scalar curvature conjecture for duality groups (2014) (6)
On Gromov's conjecture for totally non-spin manifolds (2014) (6)
Stable systolic category of manifolds and the cup-length (2008) (6)
Extension theory for maps of compact spaces (1998) (6)
Cell-like maps and topological structure groups on manifolds (2006) (6)
Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence (1986) (6)
A realization of dimension functions. I (1988) (6)
ON GENERALIZED AMENABILITY (1999) (5)
Examples of non-formal closed simply connected manifolds of dimensions 7 and more (2003) (5)
An infinite-dimensional phenomenon in finite-dimensional metric topology (2006) (5)
The Lusternik–Schnirelmann category of a connected sum (2019) (5)
Surgery Approach to Rudyak's Conjecture (2020) (4)
The Countable Extension Basis Theorem and its applications (2001) (4)
On macroscopic dimension of rationally inessential manifolds (2011) (4)
Cohomological dimension, self-linking, and systolic geometry (2008) (4)
Mixers, the converse of a theorem of van Mill and van de Vel (1985) (4)
GEOMETRIC ANGLE STRUCTURES ON TRIANGULATED SURFACES (2007) (4)
On resolutions of LCn-compacta (1987) (4)
P.S. Alexandroff and Topology: an introductory note (1997) (4)
On topological complexity and LS-category (2012) (4)
HyperEuclidean manifolds and the Novikov Conjecture (2001) (4)
Cohomological dimension of Markov compacta (2006) (4)
Covariant functors and extensors in dimension n (1985) (4)
EXTENSION OF MAPS TO NILPOTENT SPACES III (2009) (3)
On dimensionally exotic maps (2012) (3)
Realization of dimension functions. II (1989) (3)
A generalization of Borsuk's pasting theorem and its application (2002) (3)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the stability of intersections of compacta in a Euclidean space (1989) (3)
On Gromov's positive scalar curvature conjecture for virtual duality groups (2013) (3)
Remarks on straight finite decomposition complexity (2017) (3)
LIPSCHITZ COHOMOLOGY, NOVIKOV CONJECTURE, AND EXPANDERS (2002) (2)
THE NUMBER OF MINIMAL RIGHT IDEALS OF βG (2009) (2)
Dimension of compact metric spaces (2018) (2)
On macroscopic dimension of non-spin 4-manifolds (2019) (2)
An infinite family of manifolds with bounded total curvature (1999) (2)
On Large Scale Properties of Manifolds (1999) (2)
On Levin's generalization of the plus construction (2014) (2)
On Some Approximation Problems in Topology (2005) (2)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On countably-valued retracts of the Tikhonov cube (1981) (2)
MACROSCOPIC DIMENSION AND DUALITY GROUPS (2012) (2)
An upper bound on the LS category in presence of the fundamental group (2018) (1)
Corrigendum to “On the dimension growth of groups” [J. Algebra 347 (1) (2011) 23–39] (2012) (1)
[The effect of several inorganic salts in the synthetic nutrient medium on the structure and properties of glucan formed by Aureobasidium pullulans]. (1974) (1)
CANONICAL COVERS AND DIMENSION OF Z-SETS IN THE HILBERT CUBE (2008) (1)
On some problems related to the Hilbert-Smith conjecture (2015) (1)
Universal free action for compact groups (2019) (1)
The realization of dimension functions. III (1991) (1)
PERMUTATION REPRESENTATIONS OF BRAID GROUPS OF SURFACES (2017) (1)
THE INTEGRAL NOVIKOV CONJECTURE FOR ASYMPTOTICALLY FINITE DIMENSIONAL GROUPS (2004) (1)
A finitely generated group that does not satisfy the Burghelea Conjecture (2017) (1)
Free abelian topological groups and collapsing maps (2012) (1)
On homology of complements of compact sets in Hilbert Cube (2016) (1)
Homological dimension for the coefficient group Zp (1986) (1)
Necessary and sufficient conditions for contiguity and entire asymptotic separation of probability measures (2016) (1)
On Iwase's manifolds (2020) (1)
On Burghelea Conjecture (2016) (1)
On the LS-category of homomorphisms (2022) (0)
[Polysaccharide biological activity dependent on structural characteristics]. (1976) (0)
Systolic category, cohomological dimension, and self-linking (2008) (0)
GENERALIZED COHOMOLOGICAL DIMENSION OF COMPACT METRIC SPACES DedicatedtoprofessorYukihiroKodama on his60th birthday (1990) (0)
On cohomological dimension of group homomorphisms (2023) (0)
Evgenii Vital'evich Shchepin (on his seventieth birthday) (2022) (0)
Cohomology, dimension and large Riemannian manifolds (1997) (0)
———- X-Sun-Data-Type: default X-Sun-Data-Description: default X-Sun-Data-Name: grodr.tex Sun-Charset: us-ascii X-Sun-Content-Lines: 766 ON LARGE SCALE PROPERTIES OF MANIFOLDS (1999) (0)
THE PROJECTIVE π-CHARACTER BOUNDS THE ORDER OF A π-BASE (2008) (0)
Scalar curvature, macroscopic dimension and inessential manifolds (2013) (0)
APPROXIMATION OF IMBEDDINGS OF MANIFOLDS IN CODIMENSION ONE (2017) (0)
ON LUSTERNIK SCHNIRELMANN CATEGORY OF CONNECTED SUMS By ROBERT J. NEWTON A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY UNIVERSITY OF FLORIDA (2013) (0)
A finitely generated group that does not satisfy the generalized Burghelea Conjecture. (2017) (0)
[Variability of Aureobasidium pullulans (de Bary) Arnaud induced by N-nitrosomethylurea]. (1980) (0)
CONTROLLED HOMOTOPY EQUIVALENCES AND STRUCTURE SETS OF MANIFOLDS (2014) (0)
c-12 – Extensors (2003) (0)
EXTENSION OF THE BORSUK THEOREM ON NON-EMBEDDABILITY OF SPHERES (2012) (0)
ON RELATIONS BETWEEN PROPERTIES OF SETS AND PROPERTIES OF THEIR SECTIONS AND PROJECTIONS (2016) (0)
Hypereuclidean manifolds and expanders (2002) (0)
On classifying spaces for dimension (2022) (0)
Embedding of Higson compactification into the product of adelic solenoids (2022) (0)
The topological complexity of the free product (2018) (0)
Mapping class groups have finite asymptotic dimension (2008) (0)
A T ] 1 N ov 2 01 7 THE TOPOLOGICAL COMPLEXITY OF THE FREE PRODUCT (2017) (0)
INDUCED QUASI-ACTIONS: A (2009) (0)
Topology Proceedings 38 (2011) pp. 209-236: Asymptotic Dimension in Bedlewo (2008) (0)
Topology Proceedings 38 (2011) pp. 209-236: Asymptotic Dimension in Bedlewo (2008) (0)
On dimension of the orbit space of $p$-adic group actions (2015) (0)
On cohomology of the Higson compactification of hyperbolic spaces (2011) (0)
ON INTERSECTIONS OF COMPACTA IN EUCLIDEAN SPACE (2010) (0)
EditorialSpecial issue in memory of Alex Chigogidze (2017) (0)
Positive scalar curvature and strongly inessential manifolds (2021) (0)
G R ] 3 0 M ar 2 00 7 APERIODIC COLORINGS AND TILINGS OF COXETER GROUPS (2018) (0)
The Lusternik–Schnirelmann categoryand the fundamental group (2010) (0)
ON CLOSED δ-PINCHED MANIFOLDS WITH DISCRETE ABELIAN GROUP ACTIONS (2008) (0)
The Lusternik–Schnirelmann categoryand the fundamental group (2010) (0)
Cohomological manifolds over finite groups (1989) (0)
DIMENSION THEORY LOCAL AND GLOBAL (2005) (0)
On dimensionally exotic maps (2014) (0)
Infinite-dimensional compacta with finite cohomological dimension modulo p (1987) (0)
SETS OF -FIXED POINTS ARE ABSOLUTE EXTENSORS (2017) (0)
k-6 – Homology (2003) (0)
Special year in Topology and Dynamical Systems, University of Florida 2001–2002 (2004) (0)
[Characteristics of glucan, produced by a culture of Aureobasidium (Pullularia) pullulans]. (1975) (0)
A METRIC SPACE WITH THE HAVER PROPERTY WHOSE SQUARE FAILS THIS PROPERTY (2008) (0)

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