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Coverings, Networks and Weak Topologies
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SYSNO ASEP 0084679 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Coverings, Networks and Weak Topologies Title Pokrytí, sítě a slabé topologie Author(s) Dow, A. (US)
Junnila, H. (FI)
Pelant, Jan (MU-W) SAISource Title Mathematika. - : Wiley - ISSN 0025-5793
Roč. 53, č. 2 (2006), s. 287-320Number of pages 34 s. Language eng - English Country GB - United Kingdom Keywords Banach spaces ; weak topologies ; networks topologies Subject RIV BA - General Mathematics R&D Projects GA201/97/0216 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation Weak topologies of Banach spaces and point-wise topologies of C(K)-spaces are studied (here K is a compact space). The following negative results on covering properties are proved: the Banach space l.INFIN. is not .sigma.-relatively metacompact in its weak topology;the space C(.beta.N) is not .sigma.-ralatively metacompact in its point-wise topology. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2008
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