Complete pairs of coanalytic sets

• Autorzy: Jean Saint Raymond
• Języki publikacji: EN

Abstrakty

EN

Let X be a Polish space, and let C₀ and C₁ be disjoint coanalytic subsets of X. The pair (C₀,C₁) is said to be complete if for every pair (D₀,D₁) of disjoint coanalytic subsets of $ω^{ω}$ there exists a continuous function $f: ω^{ω} → X$ such that $f^{-1}(C₀) = D₀$ and $f^{-1}(C₁) = D₁$. We give several explicit examples of complete pairs of coanalytic sets.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 03E15: Descriptive set theory
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 194
• Numer: 3
• Strony: 267-281

Daty

wydano

2007

Twórcy

autor

Jean Saint Raymond

• Analyse Fonctionnelle, Institut de Mathématique de Jussieu, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/fm194-3-4