The structure of the .sigma.-ideal of .sigma.-porous sets

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SYSNO ASEP	0106833
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	The structure of the .sigma.-ideal of .sigma.-porous sets
Title	Struktura sigma-ideálu sigma-porézních množin
Author(s)	Zelený, M. (CZ) Pelant, Jan (MU-W)_SAI
Source Title	Commentationes Mathematicae Universitatis Carolinae. - : Univerzita Karlova v Praze - ISSN 0010-2628 Roč. 45, č. 1 (2004), s. 37-72
Number of pages	36 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	.sigma. proposity ; descriptive set theory ; .sigma.-ideal
Subject RIV	BA - General Mathematics
R&D Projects	GA201/97/1161 GA ČR - Czech Science Foundation (CSF)
	GA201/97/0216 GA ČR - Czech Science Foundation (CSF)
	GA201/00/1466 GA ČR - Czech Science Foundation (CSF)
	KSK1019101 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z1019905 - MU-W
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2005

Number of the records: 1