S-spaces can exist under MA
type: Item
instance of: scholarly article
title: S-spaces can exist under MA
zbMATH Open document ID: 0533.54004
DOI: 10.1016/0166-8641(83)90021-4
published in: Topology and its Applications
publication date: 1983-01-01T00:00:00Z
review text: An S-space is a hereditarily separable not Lindelöf regular space. Various examples of S-spaces were constructed using some combinatorial consequences of the axiom of constructibility. It was not known whether S-spaces can exist under Martin's axiom. The author proves, in a remarkable way, that ConZF\(C\to Con(ZFC+Martin's axiom+\exists S\)-space).
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 3846430
zbMATH Keywords: HFD
zbMATH Keywords: forcing
zbMATH Keywords: S-space
zbMATH Keywords: axiom of constructibility
zbMATH Keywords: Martin's axiom
zbMATH Keywords: ConZFC
author: Zoltán Szentmiklóssy
reviewed by: A. Szymański
MaRDI profile type: Publication
full work available at URL: 0166-8641(83)90021-4
OpenAlex ID: W1965763795
cites work: On hereditarily α-Lindelöf and α-separable spaces, II
cites work: Lectures in set theory with particular emphasis on the method of forcing
cites work: Q5630317
cites work: The countable chain condition versus separability - applications of Martin's Axiom
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description: scientific article; zbMATH DE number 3846430