Inverse Limits and a Property of J. L. Kelley, II

Abstract

In this paper we continue an investigation of the Property of Kelley in inverse limits. in particular, we show every permutation map arising from a permutation in S3, S4 or S5 produces a continuum with the Property of Kelley. the tools to acomplish this include a ray theorem and a union theorem for continua having the Property of Kelley. We round out the investigation with some theorems on confluent maps and a proof that the hereditarily decomposable continuum arising as an inverse limit on [0, 1] using as a single bonding map the logistic map fλ(x) = 4λx(1 - x) where λ is the Feigenbaum limit has the Property of Kelley.

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 2003

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