Measurable Cardinals and Finie Intervals Between Regular Toplogies

Christopher Good, DW McIntyre, WS Watson

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Assuming the existence of infinitely many measurable cardinals, a finite lattice is isomorphic to the interval between two T-3 topologies on some set if and only if it is distributive. A characterisation is given for those finite lattices which are isomorphic to the interval between two T-3 topologies on a countable set. (C) 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)429-441
Number of pages13
JournalTopology and its Applications
Volume123
Issue number3
DOIs
Publication statusPublished - 30 Sept 2002

Keywords

  • measurable cardinal
  • lattice of topologies

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