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The Closed Subset Theorem for Inverse Limits with Upper Semicontinuous Bonding Functions

The Closed Subset Theorem for Inverse Limits with Upper Semicontinuous Bonding Functions We give several characterizations of inverse limits of compact metric spaces with upper semicontinuous set-valued bonding functions having the property that any closed subset of the inverse limit is the inverse limit of its projections. This solves a problem stated by Ingram. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

The Closed Subset Theorem for Inverse Limits with Upper Semicontinuous Bonding Functions

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-017-0517-5
Publisher site
See Article on Publisher Site

Abstract

We give several characterizations of inverse limits of compact metric spaces with upper semicontinuous set-valued bonding functions having the property that any closed subset of the inverse limit is the inverse limit of its projections. This solves a problem stated by Ingram.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Jun 24, 2017

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