一类simply-connected胞腔空间的奇异同调
On the singular homology of one class of simply-connected cell-like spaces
摘要：
在我们早期的论文中，我们构造了二维非球面单连通胞状Peano连续体的例子，称为{ \sl Snake空间}。在第二章中，我们引入了定义在所有具有基点和连续映射的空间范畴上的函子$SC(-,-)$。对于圆$S^1$，空间$SC(S^1, \ast)$是Snake空间。本文研究了任意路径连通紧空间$Z$的空间$SC(Z, \ast)$的高维同调同伦性质。
英文摘要：
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 $Z$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
