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Časopis pro pěstování matematiky
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Časopis pro pěstování matematiky
Article . 1983 . Peer-reviewed
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https://dx.doi.org/10.21136/cp...
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Extension of measure-like set functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1983 Czech Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Časopis pro pěstování matematiky, volume 108, pages 113-121 (issn: 0528-2195, Copyright policy )
Authors: Šipoš, Ján;

doi: 10.21136/cpm.1983.108413

Extension of measure-like set functions

Abstract

The well-known extension theorem for real measures is generalized to monotone, additive/subadditive/strongly subadditive/superadditive/strongly superadditive set functions with values in a partially ordered, separative, monotone \(\sigma\)-complete group.

Keywords

Group- or semigroup-valued set functions, measures and integrals, Set functions, measures and integrals with values in ordered spaces, Contents, measures, outer measures, capacities, extensions of set functions with values in an ordered group

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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!
0
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