Alex Chigogidze

Q: What Schools Are Affiliated With Alex Chigogidze

Alex Chigogidze is affiliated with the following schools: Tbilisi State University, University of Saskatchewan

Alex Chigogidze's AcademicInfluence.com Rankings

Alex Chigogidze

Mathematics

#6241

World Rank

#8683

Historical Rank

Differential Geometry

#147

World Rank

#170

Historical Rank

Geometry

#206

World Rank

#286

Historical Rank

Group Theory

#502

World Rank

#582

Historical Rank

mathematics Degrees

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Mathematics

Why Is Alex Chigogidze Influential?

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According to Wikipedia, Alexander Chigogidze was a Georgian-born general topologist. Chigogidze is best known for his book Inverse Spectra, in which he passed on to the next generation of topologists the results of the Fedorchuk -Schepin Topology seminars held at the Moscow State University during the 1980s. The book also contains important contributions Chigogidze made in the area of General Topology and Geometric Topology . In the area of General Topology, Chigogidze developed extension theory for noncompact nonmetrizable spaces. In the area of Geometric Topology, Chigogidze introduced grading to shape theory by developing a theory n-Shape where n is an arbitrary integer. This was a major addendum to the existing n-Homotopy theory.

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Alex Chigogidze'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

On ?-metrizable spaces (1982) (40)
Cohomological dimension of Tychonov spaces (1997) (37)
Infinite Dimensional Topology and Shape Theory (2001) (32)
The theory of n-shapes (1989) (27)
COMPACTA LYING IN THE $ n$-DIMENSIONAL UNIVERSAL MENGER COMPACTUM AND HAVING HOMEOMORPHIC COMPLEMENTS IN IT (1988) (24)
Nöbeling spaces and pseudo-interiors of Menger compacta (1996) (22)
NONCOMPACT ABSOLUTE EXTENSORS IN DIMENSION n, n-SOFT MAPPINGS, AND THEIR APPLICATIONS (1987) (20)
The Extension Dimension and C‐Spaces (2000) (18)
Compactifications and universal spaces in extension theory (1999) (18)
On a generalization of perfectly normal spaces (1982) (16)
Which compacta are noncommutative ARs (2009) (15)
Classification theorem for Menger manifolds (1992) (13)
Universal maps and surjective characterizations of completely metrizable ⁿ-spaces (1990) (13)
COMPACT GROUPS AND FIXED POINT SETS (1997) (12)
Approximations and Selections of Multivalued Mappings of Finite-Dimensional Spaces (2001) (10)
Universal metric spaces and extension dimension (1999) (9)
On the dimension of increments of Tychonoff spaces (1981) (9)
Fixed-point free maps of Euclidean spaces (2010) (8)
n-SHAPES AND n-COHOMOTOPY GROUPS OF COMPACTA (1990) (8)
Trivial bundles and near-homeomorphisms (1989) (7)
On C*-algebras with the approximate n-th root property (2005) (7)
Finding a boundary for a Menger manifold (1994) (7)
Uncountable direct systems and a characterization of non-separable projective $C^{\ast}$-algebras (1999) (6)
Fixed point sets of autohomeomorphisms of uncountable products (1997) (6)
On absolute extensors modulo a complex (1998) (5)
Bounded rank of C∗-algebras (2001) (5)
n-Soft mappings of n-dimensional spaces (1989) (5)
On some dimensional properties of 4-manifolds☆ (1999) (5)
Infinite-dimensional compact Hausdorff spaces (1982) (5)
Finiteness results in n-homotopy theory (1996) (5)
Locally convex linear topological spaces that are homeomorphic to the powers of the real line (1991) (5)
Complemented subspaces of products of Banach spaces (2000) (4)
Extraordinary dimension theories generated by complexes (2003) (4)
Topological groups homeomorphic to products of discrete spaces (1993) (4)
SECTIONS OF SERRE FIBRATIONS WITH 2-MANIFOLD FIBERS (2008) (4)
Topological characterization of torus groups (1999) (4)
Extension Dimensional Approximation Theorem (2001) (4)
Extension Dimension and Refinable Maps (1999) (4)
Menger (Nöbeling) Manifolds versus Hilbert Cube (Space) Manifolds – A Categorical Comparison (1999) (4)
Fixed point sets of Tychonov cubes (1995) (3)
Compact groups and absolute extensors (1999) (3)
Valdivia compact groups are products (2007) (3)
Notes on Two Conjectures in Extension Theory (2002) (3)
Universal C *-Algebra of Real Rank zero (1999) (3)
On spaces of σ-additive probability measures (2003) (2)
Nonmetrizable ANR's admitting a group structure are manifolds (2005) (2)
On bicompact extensions of tychonoff spaces (1979) (2)
Shape properties of nonmetrizable spaces (1993) (2)
Extension properties of Stone-\v{C}ech coronas and proper absolute extensors (2012) (2)
On Baire isomorphisms of non-metrizable compacta (1985) (2)
Z-Set Unknotting in Large Cubes (2006) (2)
On spaces Baire isomorphic to the powers of the real line (1999) (1)
Topological AE(0)-Groups (2000) (1)
Hurewicz theorem for extension dimension (2002) (1)
Z-set unknotting in uncountable products of reals (2011) (1)
Complemented Subspaces of Locally Convex Direct Sum of Banach Spaces (2000) (1)
Real rank and squaring mappings for unital C^*-algebras (2002) (1)
On Commutative and Non-Commutative C* -Algebras with the Approximate n-th Rott Property (2005) (1)
Near-Homeomorphisms of Nöbeling Manifolds (2007) (1)
Extraordinary dimension of maps (2003) (1)
Retracts of Sigma-Products of Hilbert Cubes (2006) (1)
CHARACTERIZING THE TOPOLOGY OF PSEUDO-BOUNDARIES OF EUCLIDEAN SPACES (1999) (1)
CONTINUOUS HOMOMORPHISMS OF ARENS-MICHAEL ALGEBRAS (1999) (0)
The structure of nonmetrizable AE(0)-spaces (1987) (0)
On Properties Close to Compactness (1980) (0)
Topological Semigroups and Universal Spaces Related to Extension Dimenion (2001) (0)
C*-algebras of infinite real rank (2002) (0)
c-7 – Topological Embeddings (Universal Spaces) (2003) (0)
Factorization of Bijections onto Ordered Spaces (2015) (0)
Ju l 2 00 2 TOPOLOGICAL MODEL CATEGORIES GENERATED BY FINITE COMPLEXES (0)
Sections of Serre Fibrations with Low-Dimensional Fibers (2002) (0)
Trivial fibrations with fiber a Tikhonov cube (1986) (0)
A T ] 1 M ay 2 00 2 TOPOLOGICAL MODEL CATEGORIES GENERATED BY FINITE COMPLEXES (2002) (0)
There are no noncommutative soft maps (2011) (0)
Periodic and fixed points of multivalued maps on Euclidean spaces (2012) (0)
Local section of Serre fibrations with 3-manifold fibers (2009) (0)
Menger Manifolds (2020) (0)

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What Schools Are Affiliated With Alex Chigogidze?

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Why Is Alex Chigogidze Influential?

Alex Chigogidze's Published Works

Published Works

Other Resources About Alex Chigogidze

What Schools Are Affiliated With Alex Chigogidze?

Alex Chigogidze's AcademicInfluence.com Rankings