Inverse limits on [0,1] using sequences of piecewise linear unimodal bonding maps

Author

Brian Edward Raines

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

Link to Catalog Record

Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.

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