关于K^2×I的几类塌缩问题

On Some Classes of Collapse Problems of K×I

本文考虑当K为粘合一些由字表示的圆盘到对应圆周上所得可缩多面体时,K×1的塌缩问题。我们证明了当圆盘只有一个时,K×1可塌缩;进一步地,我们得到当圆盘有n+1时,其中n个是边界上同胚粘合时,K×1可塌缩。

In this paper, we consider some collapse problems of K×I in the cases where K is constructed by attaching 2-cells to circles by words. We have proved that when 2-cells is only one,K×I is collapsible; and further, we have also proved that K×I is collapsible when K is obtained by attaching n+1 2-cells to n+1 circles by words α_1, α_2,…,α_n, f(α_1,…,α_n,b).