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.
Recommended Citation
W. T. Ingram, "Inverse Limits and a Property of J. L. Kelley I," Boletin de la Sociedad Matematica Mexicana, vol. 8, no. 1, pp. 83 - 91, Springer, Apr 2002.
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