Metrizable images of the Sorgenfrey line

zbMath1328.54025arXiv1401.2289MaRDI QIDQ5174650

Mikhail Patrakeev

Publication date: 18 February 2015

Full work available at URL: https://arxiv.org/abs/1401.2289

zbMATH Keywords

Baire spacescattered spaceclosed mapPolish spacestrong Choquet gameSorgenfrey linecontinuous mapmetrizable spaceopen mapanalytic spaceLusin scheme

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces with richer structures (54E99) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Peculiar topological spaces (54G99)

Related Items (8)

Continuous bijections of Borel subsets of the Sorgenfrey line on compact spaces ⋮ The complement of a \(\sigma\)-compact subset of a space with a \(\pi\)-tree also has a \(\pi\)-tree ⋮ Topological difference of the iterated remainders ⋮ \( \pi \)-spaces and their open images ⋮ A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line ⋮ Open images of the Sorgenfrey line ⋮ A space with a Lusin $\pi$-base whose square has no Lusin $\pi$-base ⋮ When the property of having a $\pi$-tree is preserved by products

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