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2021-10-25
A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line
Vlad Smolin
文献摘要
In this note we prove that a regular continuous open image of the Sorgenfrey line with an uncountable weight has a closed subspace that is homeomorphic to the Sorgenfrey line. As a corollary we deduce the theorem in the title.
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