Number of the records: 1  

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

  1. 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
    FileDownloadSizeCommentaryVersionAccess
    Pelant1.pdf1424.4 KBPublisher’s postprintopen-access
     
Number of the records: 1