Masters Theses
Abstract
"In this paper we examine the inverse limits generated by inverse sequences on [0,1] with unimodal bonding maps chosen from a two-parameter family of piecewise linear continuous functions. We demonstrate techniques for analyzing the continua generated by these sequences and use these techniques to generate sufficient conditions for these sequences to give rise to indecomposable inverse limits. Interest in these inverse limit spaces arises from the fact that subcontinua of inverse limits using a single tent map as the bonding map are homeomorphic to such inverse limits"--Abstract, page iii.
Advisor(s)
Ingram, W. T. (William Thomas), 1937-
Committee Member(s)
Roe, Robert Paul
Hilgers, Michael Gene
Department(s)
Mathematics and Statistics
Degree Name
M.S. in Mathematics
Publisher
University of Missouri--Rolla
Publication Date
Spring 2000
Pagination
vi, 20 pages
Note about bibliography
Includes bibliographical references (page 19).
Rights
© 2000 Brian Edward Raines, All rights reserved.
Document Type
Thesis - Restricted Access
File Type
text
Language
English
Thesis Number
T 7772
Print OCLC #
44651904
Electronic OCLC #
1106493987
Recommended Citation
Raines, Brian Edward, "Inverse limits on [0,1] using sequences of piecewise linear unimodal bonding maps" (2000). Masters Theses. 1932.
https://scholarsmine.mst.edu/masters_theses/1932
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