Separation properties of simultaneous topological extensions

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Abstract

Let X be a set and Si(x) be a (possibly zero) filter in Xi ⊂ X for i ∈ I and x ∈ X. A topology τ on X is said to be a simultaneous extension compatible with (Si) iff Si(x) = b(x)

Original languageEnglish
Pages (from-to)69-74
Number of pages6
JournalActa Mathematica Hungarica
Volume92
Issue number1-2
Publication statusPublished - Dec 1 2001

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Keywords

  • Admissible filter system
  • Compatible simultaneous extension
  • Dense filter system
  • Locally finite filter system

ASJC Scopus subject areas

  • Mathematics(all)

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