19 citations · 55 across the 16 of their papers we have counts for
16 papers
On generalization of Homotopy Axiom
Umed Karimov
In the paper \emph{K.~Sigmon} A strong homotopy axiom for Alexander cohomology, Proc. Amer. Math. Soc. \textbf{31:1} (1972), 271--275 it was proven that if is compact topologic…
On bubbles and hereditary functorial equivalence of topological spaces
Umed Karimov
The concept of bubles was defined and investigated. In this paper we generalize this conception for some other functors . Open questions are formulated.
On the Alexandroff-Borsuk problem
Matija Cencelj, Umed H. Karimov, Dušan D. Repovš
We investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an -dimensional compact non-triangulable manifold and $\vareps…
A new class of homology and cohomology 3-manifolds
D. J. Garity, U. H. Karimov, D. D. Repovš +1
We show that for any set of primes there exists a space which is a homology and cohomology 3-manifold with coefficients in for $p\i…
On nerves of fine coverings of acyclic spaces
Umed H. Karimov, Dušan D. Repovš
The main results of this paper are: (1) If a space can be embedded as a cellular subspace of then admits arbitrary fine open coverings whose nerves are homeo…
On Snake cones, Alternating cones and related constructions
Katsuya Eda, Umed H. Karimov, Dušan Repovš +1
We show that the Snake on a square is homotopy equivalent to the space which was investigated in the previous work by Eda, Karimov and Repov\vs. We also introdu…