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Topology and its ApplicationsVolume 283, 1 September 2020, Article number 107337

Types of countable sequential groups(Article)

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  • aDepartment of Mathematics, University of Toronto, Canada
  • bInstitut de Mathématiques de Jussieu, Paris, France

Abstract

We show that 1, N and NN are all Tukey types of countable sequential groups reducible to NN. In particular, we show that a countable sequential group X is of Tukey type NN exactly when it a nonmetrizable kℵ0-space. © 2020 Elsevier B.V.

Author keywords

k-Spaceskℵ0-SpacesTukey reductions

Funding details

Funding sponsor Funding number Acronym
Centre National de la Recherche ScientifiqueUMR7586CNRS

  • 1

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

  • ISSN: 01668641
  • CODEN: TIAPD
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.topol.2020.107337
  • Document Type: Article
  • Publisher: Elsevier B.V.

  Todorcevic, S.; Department of Mathematics, University of Toronto, Canada;
© Copyright 2020 Elsevier B.V., All rights reserved.

Cited by 3 documents

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(2023) Questions and Answers in General Topology
Todorcevic, S.
Basic orders in descriptive combinatorics
(2023) Topology and its Applications
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