论文标题

完全断开可链连续的子集

Totally disconnected subsets of chainable continua

论文作者

Lipham, David S.

论文摘要

我们表明,在某个时候,Suslinian Chable Continuum的端点集必须为零。特别是,完成ERDS空间不能是同型。这回答了Jerzy Krzempek的问题。

We show that the endpoint set of a Suslinian chainable continuum must be zero-dimensional at some point. In particular, it cannot be homeomorphic to complete Erdős space. This answers a question of Jerzy Krzempek.

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