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Acta Mathematica HungaricaVolume 167, Issue 2, August 2022, Pages 419-475

Analysis of a topological basis problem(Article)

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  • aAcademy of Mathematics and Systems Science, Chinese Academy of Sciences, East Zhong Guan Cun Road No. 55, Beijing, China
  • bDepartment of Mathematics, University of Toronto, ON, Canada
  • cInstitut de Mathématiques de Jussieu, Paris, France
  • dMatematički Institut, Belgrade, SANU, Serbia

Abstract

We examine a basis problem for uncountable regular first countable spaces using the Proper Forcing Axiom. We introduce a notion of inner and outer topologies and show that they come quite close to characterizing the correctness of the current conjecture about this basis problem. © 2022, Akadémiai Kiadó, Budapest, Hungary.

Author keywords

basis problemcountable networkSorgenfrey space

Funding details

Funding sponsor Funding number Acronym
Natural Sciences and Engineering Research Council of Canada
See opportunities by NSERC		NSERC
National Natural Science Foundation of China11901562NSFC
Chinese Academy of SciencesCAS
Centre National de la Recherche ScientifiqueUMR7586CNRS

  • 1

    The research of the second author was partially supported by grants from NSERC (455916) and CNRS (UMR7586).

  • 2

    Peng was partially supported by NSFC No. 11901562 and a program of the Chinese Academy of Sciences.

  • ISSN: 02365294
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1007/s10474-022-01253-y
  • Document Type: Article
  • Publisher: Springer Science and Business Media B.V.

  Peng, Y.; Academy of Mathematics and Systems Science, Chinese Academy of Sciences, East Zhong Guan Cun Road No. 55, Beijing, China;
© Copyright 2022 Elsevier B.V., All rights reserved.

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