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On the Singular Homology of One Class of Simply-connected Cell-like Spaces |
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| Authors: | Katsuya Eda Umed H. Karimov Du?an Repov? |
| Affiliation: | 1. School of Science and Engineering, Waseda University, Tokyo, 169-8555, Japan 2. Institute of Mathematics, Academy of Sciences of Tajikistan, Ul. Ainy 299A, Dushanbe, 734063, Tajikistan 3. Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.Box 2964, Ljubljana, 1001, Slovenia |
| 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(S1, *){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, *){SC(Z, {_{*}})} for any path-connected compact spaces Z. |
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