Inscribing compact non-σ-porous sets into analytic non-σ-porous sets

• Autorzy: Miroslav Zelený , Luděk Zajíček
• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to give a simpler proof of the following assertion. Let A be an analytic non-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 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: 2005
• Tom: 185
• Numer: 1
• Strony: 19-39

Daty

wydano

2005

Twórcy

autor

Miroslav Zelený

• Charles University, Faculty of Mathematics and Physics, KMA, Sokolovská 83, Praha 8, 186 00, Czech Republic

autor

Luděk Zajíček

• Faculty of Mathematics and Physics, KMA, Charles University, Sokolovská 83, Praha 8, 186 00, Czech Republic

Identyfikatory

DOI

10.4064/fm185-1-2