On two classes of sets containing all Baire sets and all co-analytic sets

Zoltan Balogh, Harold Bennett

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The notions of an Sδ set and an Rδ set are introduced. A space is S-perfect (R-perfect) if each closed set is an Sδ set (Rδ) set. Conditions are given which indicate when spaces are S-perfect or R-perfect. Examples are given of spaces which do not have these properties and examples are given of spaces with these properties that are not perfect spaces. The images of S-perfect and R-perfect spaces under various types of mappings are investigated.

Original languageEnglish
Pages (from-to)247-264
Number of pages18
JournalTopology and its Applications
Volume33
Issue number3
DOIs
StatePublished - Nov 1989

Keywords

  • Baire sets
  • R-perfect
  • S-perfect
  • co-analytic sets
  • open-compact maps
  • perfect maps
  • perfect sets

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