On decompositions of the real line

DOI10.4064/cm7995-5-2020OpenAlexW3117115195MaRDI QIDQ4997562

Gerald Kuba

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08359

zbMATH Keywords

decompositionssubspacestopology of the line

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

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• Counting ultrametric spaces
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• Counting linearly ordered spaces