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The structure of the .sigma.-ideal of .sigma.-porous sets
- 1.0106833 - MU-W 20040040 RIV CZ eng J - Journal Article
Zelený, M. - Pelant, Jan
The structure of the .sigma.-ideal of .sigma.-porous sets.
[Struktura sigma-ideálu sigma-porézních množin.]
Commentationes Mathematicae Universitatis Carolinae. Roč. 45, č. 1 (2004), s. 37-72. ISSN 0010-2628
R&D Projects: GA ČR GA201/97/1161; GA ČR GA201/97/0216; GA ČR GA201/00/1466; GA AV ČR KSK1019101
Institutional research plan: CEZ:AV0Z1019905
Keywords : .sigma. proposity * descriptive set theory * .sigma.-ideal
Subject RIV: BA - General Mathematics
We show a general method of construction of non-.sigma.-porous sets in complete metric spaces. This method enables us to answer several open questions. We prove that each non-.sigma.-porous Suslin subset of a topologically complete metric space contains a non-.sigma.-porous closed subset. We show also a sufficient consition, which gives that a certain system of compact sets contains a non-.sigma.-porous element.
Je ukázána obecná metoda konstrukce množin, které nejsou sigma-porézní v úplných metrických prostorech. Metoda dává odpověď na několik otevřených problémů.
Permanent Link: http://hdl.handle.net/11104/0014007
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