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On σ -porous sets in abstract spaces

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  • L. Zajíček

Abstract

The main aim of this survey paper is to give basic information about properties and applications of σ - porous sets in Banach spaces (and some other infinite-dimensional spaces). This paper can be considered a partial continuation of the author's 1987 survey on porosity and σ -porosity and therefore only some results, remarks, and references (important for infinite-dimensional spaces) are repeated. However, this paper can be used without any knowledge of the previous survey. Some new results concerning σ -porosity in finite-dimensional spaces are also briefly mentioned. However, results concerning porosity (but not σ -porosity) are mentioned only exceptionally.

Suggested Citation

  • L. Zajíček, 2005. "On σ -porous sets in abstract spaces," Abstract and Applied Analysis, Hindawi, vol. 2005, pages 1-26, January.
    • Handle: RePEc:hin:jnlaaa:101289
    DOI: 10.1155/AAA.2005.509
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