Keywords and Phrases
Arc-Likeness; Atomic Map; Generalized Inverse Limits; Herediatarily Decomposable; Hereditarily Unicoherent; Local Connectedness
"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.
Roe, Robert Paul
Charatonik, W. J.
Grow, David E.
Mathematics and Statistics
Ph. D. in Mathematics
Missouri University of Science and Technology
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
ix, 51 pages
© 2019 Faruq Abdullah Mena, All rights reserved.
Dissertation - Open Access
Electronic OCLC #
Mena, Faruq Abdullah, "Dendrites or lambda-dendroids as generalized inverse limits" (2019). Doctoral Dissertations. 2843.