On projective mappings

Research output: Contribution to journalArticlepeer-review


Let X, Y be Polish spaces, and let Bk be the σ-algebra generated by the projective class L2k+1. A mapping f: X → Y is called k-projective if f-1(E) ∈ Bk for any Borel subset E ⊂ Y. The following theorem is our main result: for any k-projective mapping f: X → Y there exist a Polish space XS, a dense subset XS ∈ Bk, and two continuous mappings f0, i: XS → Y such that i) fo|XS = f ○ i|X S; ii) i|XS is a bijection.

Original languageEnglish
Pages (from-to)295-300
Number of pages6
JournalMathematical Notes
Issue number3-4
StatePublished - 1 Jan 2002
Externally publishedYes


  • Borel mapping
  • Borel subset
  • Polish space
  • k-projective mapping

ASJC Scopus subject areas

  • General Mathematics


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