Factorization of bijections onto ordered spaces

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• 作者：Raushan Buzyakova ; ^{Raushan_Buzyakova@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Alex Chigogidze
• 关键词：54F05 ; 06F30 ; 54F45 ; 54C99
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：198
• 期：Complete
• 页码：38-46
• 全文大小：302 K

文摘

We identify a class of subspaces of ordered spaces L$\mathcal{L}$ for which the following statement holds: If f:X→L∈L$f:X\to L\in \mathcal{L}$ is a continuous bijection of a zero-dimensional space X, then f can be re-routed via a zero-dimensional subspace of an ordered space that has weight not exceeding that of L.