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 S1, the space SC(S1, *) 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.
ASJC Scopus subject areas
- 数学 (全般)