Institute of Mathematics National Academy of Science of Tajikistan

output

20092016

most citedOn noncontractible compacta with trivial homology and homotopy groups

9 citations

researchers with a paper here

collaborating institutions

4 papers

math.AT2016

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 $P$ there exists a space $M_{P}$ which is a homology and cohomology 3-manifold with coefficients in $Z_{p}$ for $p\i…

math.GT2015★ 1 cited

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 $X$ can be embedded as a cellular subspace of $R^{n}$ then $X$ admits arbitrary fine open coverings whose nerves are homeo…

math.GT2013

On Snake cones, Alternating cones and related constructions

Katsuya Eda, Umed H. Karimov, Dušan Repovš +1

We show that the Snake on a square $S C (S^{1})$ is homotopy equivalent to the space $A C (S^{1})$ which was investigated in the previous work by Eda, Karimov and Repov\vs. We also introdu…

math.AT2009★ 9 cited

On noncontractible compacta with trivial homology and homotopy groups

Umed H. Karimov, Dušan Repovš

We construct an example of a Peano continuum $X$ such that: (i) $X$ is a one-point compactification of a polyhedron; (ii) $X$ is weakly homotopy equivalent to a point (i.e. $π_n(X)…