Open images of the Sorgenfrey line

Published 17 Jul 2020 in math.GN | (2007.08845v1)

Abstract: We give a description of Hausdorff continuous open images of the Sorgenfrey line: these are precisely those spaces that have a Sorgenfrey base. Using this description we prove that no Hausdorff compact space that contains a copy of the Sorgenfrey line is a continuous open image of it; in particular the double-arrow space is not a continuous open image of the Sorgenfrey line.

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Vlad Smolin

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