output
20062026
most citedA Trio of GRB-SNe: GRB 120729A, GRB 130215A / SN 2013ez and GRB 130831A / SN 2013fu

41 citations

Showing math.GTShow all

7 papers · 1 filter

math.GT2017

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…

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 can be embedded as a cellular subspace of then 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 is homotopy equivalent to the space which was investigated in the previous work by Eda, Karimov and Repov\vs. We also introdu…

math.GT2013★ 6 cited

On 2-dimensional nonaspherical cell-like Peano continua: A simplified approach

Katsuya Eda, Umed H. Karimov, Dušan Repovš

We construct a functor from the category of path connected spaces with a base point to the category of simply connected spaces. The following are the main results…

math.GT2013

On generalized 3-manifolds which are not homologically locally connected

Umed H. Karimov, Dušan Repovš

We show that the classical example of a 3-dimensional generalized manifold constructed by van Kampen is another example of not homologically locally connected (i.e. not HLC) sp…

math.GT2012★ 19 cited

On the homology of the Harmonic Archipelago

Umed H. Karimov, Dušan Repovš

We calculate the singular homology and Čech cohomology groups of the Harmonic archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths spac…

math.GT2007

A construction of noncontractible simply connected cell-like two dimensional Peano continua

Katsuya Eda, Umed H. Karimov, Dušan Repovš

Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point an…