Dendrites or lambda-dendroids as generalized inverse limits

<p>"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.</p>

Name thesis:degree_name

Ph. D. in Mathematics

Grantor

Missouri University of Science and Technology

Author dc:creator

• Mena, Faruq Abdullah

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

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/2843

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-3848