Abstract
In our earlier papers we constructed examples of 2-dimensional nonaspherical simply-connected cell-like Peano continua, called 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 \({SC(S^1, {_{*}})}\) is a Snake space. In the present paper we study the higher-dimensional homology and homotopy properties of the spaces \({SC(Z, {_{*}})}\) for any path-connected compact spaces Z.
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Eda, K., Karimov, U.H. & Repovš, D. On the Singular Homology of One Class of Simply-connected Cell-like Spaces. Mediterr. J. Math. 8, 153–160 (2011). https://doi.org/10.1007/s00009-010-0079-3
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DOI: https://doi.org/10.1007/s00009-010-0079-3