On Snake cones, Alternating cones and related constructions

Katsuya Eda; Umed H. Karimov; Dušan Repovš; Andreas Zastrow

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arXiv · 1305.6177

On Snake cones, Alternating cones and related constructions

Katsuya Eda·Umed H. Karimov·Dušan Repovš·Andreas Zastrow

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Abstract

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

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BibTeX RIS

Katsuya Eda, Umed H. Karimov, Dušan Repovš, Andreas Zastrow. 2013-05-27. On Snake cones, Alternating cones and related constructions. https://arxiv.org/abs/1305.6177

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