Infinite games and σ-porosity

We show a new game characterizing various types of σ -porosity for Souslin sets in terms of winning strategies. We use the game to prove and reprove some new and older inscribing theorems for σ -ideals of σ -porous type in locally compact metric spaces.

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Bibliographische Detailangaben
Veröffentlicht in:	Israel journal of mathematics 2016-09, Vol.215 (1), p.441-457
Hauptverfasser:	Doležal, M., Preiss, D., Zelený, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Group Theory and Generalizations Mathematical and Computational Physics Mathematics Mathematics and Statistics Metric space Porosity Theoretical
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Beschreibung
Zusammenfassung:	We show a new game characterizing various types of σ -porosity for Souslin sets in terms of winning strategies. We use the game to prove and reprove some new and older inscribing theorems for σ -ideals of σ -porous type in locally compact metric spaces.
ISSN:	0021-2172 1565-8511
DOI:	10.1007/s11856-016-1383-9