Infinite iterations of a functor of probability measures and open mappings
type: Item
instance of: scholarly article
title: Infinite iterations of a functor of probability measures and open mappings
zbMATH Open document ID: 0716.54014
author: I. E. Ogorodnikova
published in: Moscow University Mathematics Bulletin
publication date: 1989-01-01T00:00:00Z
review text: The following result is proved: Let \(f:X\to Y\) be a continuous open map between compact metric spaces with no singleness points. Denote \(P^{\omega}(f):=\lim P^ n(f)\) the limit of an inverse sequence of the n-th iterations \(P^ n(f):P^ n(X)\to P^ n(Y)\) of the functor of probability measures P, then \(P^{\omega}(f)\) is a Q-fibration, i.e., a trivial fibration with a fiber homeomorphic to the Hilbert cube Q.
Mathematics Subject Classification ID: 54C55
Mathematics Subject Classification ID: 54B35
Mathematics Subject Classification ID: 54E45
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 4180304
zbMATH Keywords: West-Toruńczyk criterion
zbMATH Keywords: functor of probability measures
reviewed by: Władysław Kulpa
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4180304