Asymptotic topology
AN Dranishnikov - Russian Mathematical Surveys, 2000 - iopscience.iop.org
In this paper we study the similarity between local topology and its global analogue, so-
called asymptotic topology. In the asymptotic case, the notions of dimension, cohomological …
called asymptotic topology. In the asymptotic case, the notions of dimension, cohomological …
[PDF][PDF] Cohomological dimension theory of compact metric spaces
AN Dranishnikov - arXiv preprint math/0501523, 2005 - arxiv.org
arXiv:math/0501523v1 [math.GN] 28 Jan 2005 Page 1 arXiv:math/0501523v1 [math.GN] 28
Jan 2005 Topology Atlas Invited Contributions 6 no. 3 (2001) 61 pp. COHOMOLOGICAL …
Jan 2005 Topology Atlas Invited Contributions 6 no. 3 (2001) 61 pp. COHOMOLOGICAL …
Arithmetic of dimension theory
EV Shchepin - Russian Mathematical Surveys, 1998 - iopscience.iop.org
Abstract Contents Introduction Chapter I. Algebra § 1. Tensor classification of Abelian
groups § 2. Künneth algebras of polygroups § 3. The code lattice Chapter II. Topology § 4 …
groups § 2. Künneth algebras of polygroups § 3. The code lattice Chapter II. Topology § 4 …
Cohomological dimension of Tychonov spaces
A Chigogidze - Topology and its Applications, 1997 - Elsevier
The concept of the cohomological dimension dimGX is defined for any Tychonov (ie,
completely regular and Hausdorff) space X and any countable abelian group G. We prove …
completely regular and Hausdorff) space X and any countable abelian group G. We prove …
On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space
A Dranishnikov - Transactions of the American Mathematical Society, 2000 - ams.org
ON THE DIMENSION OF THE PRODUCT OF TWO COMPACTA AND THE DIMENSION OF
THEIR INTERSECTION IN GENERAL POSITION IN EUCLIDEAN SPACE 1 Page 1 …
THEIR INTERSECTION IN GENERAL POSITION IN EUCLIDEAN SPACE 1 Page 1 …
Light maps and extensional dimension
AN Dranishnikov, VV Uspenskij - Topology and its Applications, 1997 - Elsevier
We show that any light map f: X→ Y between compact spaces admits a decomposition f= gh,
where g: Z→ Y is a finite-to-one map of a special type and h: X→ Z has arbitrarily small …
where g: Z→ Y is a finite-to-one map of a special type and h: X→ Z has arbitrarily small …
[图书][B] Cohomological dimension theory
J Dydak - 2002 - books.google.com
The paper outlines the development of the cohomological dimension theory from its
beginning (around 1930) to the present. The emphasis is on the main ideas and on the …
beginning (around 1930) to the present. The emphasis is on the main ideas and on the …
The Mardesic factorization theorem for extension theory and c-separation
M Levin, L Rubin, P Schapiro - Proceedings of the American Mathematical …, 2000 - ams.org
We shall prove a type of Mardešić factorization theorem for extension theory over an
arbitrary stratum of CW-complexes in the class of arbitrary compact Hausdorff spaces. Our …
arbitrary stratum of CW-complexes in the class of arbitrary compact Hausdorff spaces. Our …
Transversal intersection formula for compacta
AN Dranishnikov, D Repovš, EV Ščepin - Topology and its Applications, 1998 - Elsevier
The main purpose of this paper is to present a unified treatment of the formula for dimension
of the transversal intersection of compacta in Euclidean spaces. A new contribution is the …
of the transversal intersection of compacta in Euclidean spaces. A new contribution is the …
THE EXTENSION DIMENSION AND-SPACES
A Chigogidze, V Valov - Bulletin of the London Mathematical Society, 2002 - cambridge.org
THE EXTENSION DIMENSION AND $C$ -SPACES Page 1 Bull. London Math. Soc. 34 (2002)
708–716 Cf2002 London Mathematical Society DOI: 10.1112/S0024609302001315 THE …
708–716 Cf2002 London Mathematical Society DOI: 10.1112/S0024609302001315 THE …