Factorization of Bijections onto Ordered Spaces

Raushan Buzyakova; Alex Chigogidze

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arXiv · 1511.02849

Factorization of Bijections onto Ordered Spaces

Raushan Buzyakova·Alex Chigogidze

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Abstract

We identify a class of subspaces of ordered spaces $\mathcal L$ for which the following statement holds: If $f:X\to L\in \mathcal L$ is a continuous bijections 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 $L$.

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Raushan Buzyakova, Alex Chigogidze. 2015-11-07. Factorization of Bijections onto Ordered Spaces. https://arxiv.org/abs/1511.02849

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