A separable non-remainder of ℍ

DOI10.1090/S0002-9939-08-09357-XzbMath1157.54012arXiv0708.0838OpenAlexW3124692707MaRDI QIDQ3532533

Alan Dow, Klaas Pieter Hart

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0838

zbMATH Keywords

Stone-Čech compactificationStone-Čech remainderseparable continuumMartin's AxiomContinuum HypothesisOpen Coloring Axiom

Mathematics Subject Classification ID

Continua and generalizations (54F15) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Remainders in general topology (54D40) Consistency and independence results in general topology (54A35) Metamathematics of constructive systems (03F50) Other set-theoretic hypotheses and axioms (03E65) Separability of topological spaces (54D65)

Related Items (2)

Alan Dow ⋮ On subcontinua and continuous images of \(\beta \mathbb{R} \setminus \mathbb{R}\)

Cites Work

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• A first countable compact space that is not an \(N^*\) image
• \(\omega^*\) has (almost) no continuous images
• A universal continuum of weight $\aleph $
• Perfectly Normal Compact Spaces are Continuous Images of βN \N
• Separable extensions of first countable spaces
• Partition Problems in Topology

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