Geodesic
Continuous bijections of Borel subsets of the Sorgenfrey line on compact spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1735-1741.

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We prove that the topology of an uncountable Borel subset of the Sorgenfrey line is equal to the supremum of metrizable compact topologies. As a corollary we obtain that a Borel subset of the Sorgenfrey line has a weak Hausdorff compact topology if and only if it is either uncountable or countable and scattered.
Keywords: Sorgenfrey line, Borel set, supremum of topologies, weak compact topology, Lusin scheme.
Mots-clés : compact condensation 
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V. R. Smolin. Continuous bijections of Borel subsets of the Sorgenfrey line on compact spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1735-1741. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a35/

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