"Inverse Limits On [0,1] Using Logistic Bonding Maps" by Marcy Barge and William Thomas Ingram
 

Abstract

In this paper we investigate inverse limits on [0,1] using a single bonding map chosen from the logistic family, fλ (x) = 4λx(1-x) for 0 ≤ λ ≤ 1. Many interesting continua occur as such inverse limits from arcs to indecomposable continua. Among other things we observe that up through the Feigenbaum limit the inverse limit is a point or is hereditarily decomposable and otherwise the inverse limit contains an indecomposable continuum. © 1996 Elsevier Science B.V. All rights reserved.

Department(s)

Mathematics and Statistics

Publication Status

Open Access

Keywords and Phrases

Indecomposable continuum; Inverse limit; Logistic mapping

International Standard Serial Number (ISSN)

0016-660X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

01 Jan 1996

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