Inverse Limits and a Property of J. L. Kelley I

Abstract

In this paper we use inverse limit techniques to prove certain continua have the Property of Kelley. These include all the continua in the uncountable collection of atriodic tree-like continua constructed in [An uncountable collection of mutually exclusive planar atriodic tree-like continua with positive span, Fund. Math. 85 (1974), 73-78], certain chainable continua obtained as inverse limits on [0, 1] using a single bonding map chosen from a collection of bonding maps determined by permutations and certain chainable continua obtained as inverse limits on intervals using a single unimodal bonding map.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Inverse limit; Property of Kelley

International Standard Serial Number (ISSN)

1405-213X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Springer, All rights reserved.

Publication Date

01 Apr 2002

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