Effective decomposition of σ-continuous Borel functions

• Autorzy: Gabriel Debs
• Języki publikacji: EN

Abstrakty

EN

We prove that if a Δ¹₁ function f with Σ¹₁ domain X is σ-continuous then one can find a Δ¹₁ covering $(Aₙ)_{n∈ω}$ of X such that $f_{|Aₙ}$ is continuous for all n. This is an effective version of a recent result by Pawlikowski and Sabok, generalizing an earlier result of Solecki.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 187-202

Daty

wydano

2014

Twórcy

autor

Gabriel Debs

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

Identyfikatory

DOI

10.4064/fm224-2-4