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Abstract and Applied Analysis
Article . 2005 . Peer-reviewed
License: CC BY
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Abstract and Applied Analysis
Article
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Abstract and Applied Analysis
Article . 2005
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On σ‐porous sets in abstract spaces

Authors: L. Zajíček;

On σ‐porous sets in abstract spaces

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.

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Keywords

QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
84
Top 10%
Top 1%
Top 10%
gold