When the property of having a $\pi$-tree is preserved by products

zbMath1422.54016arXiv1611.08870MaRDI QIDQ5742878

Mikhail Patrakeev

Publication date: 8 May 2019

Full work available at URL: https://arxiv.org/abs/1611.08870

zbMATH Keywords

Baire spaceSorgenfrey line\(\pi\)-treeLusin \(\pi\)-basespectrum of a \(\pi\)-tree on \(X\)

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Extension of maps (54C20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items

\( \pi \)-spaces and their open images, A space with a Lusin $\pi$-base whose square has no Lusin $\pi$-base

Cites Work

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• Set theory. An introduction to independence proofs
• Some properties of the Sorgenfrey line and related spaces
• The complement of a \(\sigma\)-compact subset of a space with a \(\pi\)-tree also has a \(\pi\)-tree
• Set Theory
• Metrizable images of the Sorgenfrey line