Title

Local Connectedness of Inverse Limits

Abstract

We prove a theorem that under some conditions local connectedness is preserved under set-valued inverse limits. The theorem generalizes Capel's theorem that local connectedness is preserved under (single-valued) inverse limits with monotone bonding functions and its set-valued analogue by James Kelly (see [12]). As a consequence we can characterize some set-valued inverse limits on intervals.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Generalized inverse limit; Local connectedness

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Elsevier B.V., All rights reserved.

Publication Date

01 Sep 2019

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