English

On Snake cones, Alternating cones and related constructions

Geometric Topology 2013-05-28 v1 Algebraic Topology General Topology

Abstract

We show that the Snake on a square SC(S1)SC(S^1) is homotopy equivalent to the space AC(S1)AC(S^1) which was investigated in the previous work by Eda, Karimov and Repov\vs. We also introduce related constructions CSC()CSC(-) and CAC()CAC(-) and investigate homotopical differences between these four constructions. Finally, we explicitly describe the second homology group of the Hawaiian tori wedge.

Keywords

Cite

@article{arxiv.1305.6177,
  title  = {On Snake cones, Alternating cones and related constructions},
  author = {Katsuya Eda and Umed H. Karimov and Dušan Repovš and Andreas Zastrow},
  journal= {arXiv preprint arXiv:1305.6177},
  year   = {2013}
}
R2 v1 2026-06-22T00:23:04.996Z