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Mathematical Notes
Article . 1997 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Topological classification of spaces of probability measures on projective spaces

Authors: Banakh, T. O.;

Topological classification of spaces of probability measures on projective spaces

Abstract

Under some set-theoretic assumptions the author obtains the full characterization of the pair \((P(K),P(X))\), where \(K\) is a metric compact set, \(X\) is an everywhere dense projective subset of \(K\) and \(P(\cdot)\) denotes the space of all probability measures with compact supports on the corresponding space.

Keywords

Probability measures on topological spaces, probability measure, projective set, space of measures, Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), Spaces of measures, convergence of measures

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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!
2
Average
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