A space with a Lusin $\pi$-base whose square has no Lusin $\pi$-base

zbMath1481.54027arXiv1812.03458MaRDI QIDQ5156483

Mikhail Patrakeev

Publication date: 18 October 2021

Full work available at URL: https://arxiv.org/abs/1812.03458

zbMATH Keywords

Baire spaceproduct of topological spacesLusin schemeLusin \(\pi\)-basefree filters on \(\omega\)

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Cites Work

• Unnamed Item
• Set theory. An introduction to independence proofs
• The complement of a \(\sigma\)-compact subset of a space with a \(\pi\)-tree also has a \(\pi\)-tree
• Metrizable images of the Sorgenfrey line
• When the property of having a $\pi$-tree is preserved by products
• Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences. Transl. from the Russian

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