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.
Recommended Citation
W. T. Ingram, "Inverse Limits and a Property of J. L. Kelley, II," Boletin de la Sociedad Matematica Mexicana, vol. 9, no. 1, pp. 135 - 150, Springer, Apr 2003.
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