Inverse limits, inverse limit hulls and crossovers

In this paper several characterizations of subspaces of products of countably many compact metric spaces that are inverse limits of inverse sequences are given. These characterizations are obtained both for inverse sequences with continuous single-valued bonding functions and for inverse sequences w...

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Bibliographic Details
Published in:Topology and its applications 2015-12, Vol.196, p.155-172
Main Authors: Banič, Iztok, Črepnjak, Matevž, Merhar, Matej, Milutinović, Uroš
Format: Article
Language:English
Subjects:
Crossovers
Inverse limit hulls
Inverse limits
Upper semicontinuous set-valued functions
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Summary:In this paper several characterizations of subspaces of products of countably many compact metric spaces that are inverse limits of inverse sequences are given. These characterizations are obtained both for inverse sequences with continuous single-valued bonding functions and for inverse sequences with upper semicontinuous set-valued bonding functions. The proofs are based on use of crossovers and inverse limit hulls.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2015.09.040