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A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line

Published 25 Oct 2021 in math.GN | (2110.12808v1)

Abstract: 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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Authors (1)

  1. Vlad Smolin 

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