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arXiv · 1105.2867

On the singular homology of one class of simply-connected cell-like spaces

Katsuya Eda·Umed H. Karimov·Dušan Repovš
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Abstract

In our earlier papers we constructed examples of 2-dimensional nonaspherical simply-connected cell-like Peano continua, called {\sl Snake space}. In the sequel we introduced the functor $SC(-,-)$ defined on the category of all spaces with base points and continuous mappings. For the circle $S^1$, the space $SC(S^1, \ast)$ is a Snake space. In the present paper we study the higher-dimensional homology and homotopy properties of the spaces $SC(Z, \ast)$ for any path-connected compact spaces $Z$.

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Katsuya Eda, Umed H. Karimov, Dušan Repovš. 2011-08-05. On the singular homology of one class of simply-connected cell-like spaces. https://doi.org/10.1007/s00009-010-0079-3

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