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The structure of the σ -ideal of σ -porous sets

Miroslav ZelenýJan Pelant — 2004

Commentationes Mathematicae Universitatis Carolinae

We show a general method of construction of non- σ -porous sets in complete metric spaces. This method enables us to answer several open questions. We prove that each non- σ -porous Suslin subset of a topologically complete metric space contains a non- σ -porous closed subset. We show also a sufficient condition, which gives that a certain system of compact sets contains a non- σ -porous element. Namely, if we denote the space of all compact subsets of a compact metric space E with the Vietoris topology...

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