Doctoral Dissertations

Keywords and Phrases

Arc-Likeness; Atomic Map; Generalized Inverse Limits; Herediatarily Decomposable; Hereditarily Unicoherent; Local Connectedness

Abstract

"This research centers on the study of generalized inverse limits. We show that all members of an infinite family of inverse limit spaces are homeomorphics to one particularly complicated inverse limit space known as "The Monster". Further, properties of factor spaces and graphs of bonding functions which are preserved in generalized inverse limit spaces with upper semi-continuous bonding functions with appropriate restrictions are investigated. Some of the properties are locally connectedness, hereditary decomposability, hereditary indecomposability, hereditary unicoherence, arc-likeness, and tree-likeness. The theorems are illustrated by several examples"--Abstract, page iv.

Advisor(s)

Roe, Robert Paul

Committee Member(s)

Charatonik, W. J.
Insall, Matt
Grow, David E.
Vojta, Thomas

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Fall 2019

Journal article titles appearing in thesis/dissertation

  • A family of generalized inverse limits homeomorphic to 'The Monster'
  • Local connectedness of inverse limits
  • Inverse limits and atomic projections

Pagination

ix, 51 pages

Note about bibliography

Includes bibliographic references.

Rights

© 2019 Faruq Abdullah Mena, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 11640

Electronic OCLC #

1139525513

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Included in

Mathematics Commons

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