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

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

2011-05-14

arxiv.org/abs/1105.2867v2

Mediterranean J. Math. 8:2 (2011), 153-160

Mathematics

General Topology

Scientific paper

10.1007/s00009-010-0079-3

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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