Large weight does not yield an irreducible base

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Answering a question of Juhász, Soukup and Szentmiklóssy, we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspace which has an irreducible base.

Original languageEnglish
Pages (from-to)131-137
Number of pages7
JournalPeriodica Mathematica Hungarica
Volume66
Issue number2
DOIs
StatePublished - Jun 2013

Keywords

  • forcing
  • general topology
  • irreducible base
  • weight

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