Date of Award
8-1-2018
Document Type
Dissertation
Degree Name
Ph.D.
Organizational Unit
Mathematics
First Advisor
Richard N. Ball, Ph.D.
Second Advisor
Nikolaos Galatos
Third Advisor
Alvaro Arias
Fourth Advisor
Petr Vojtechovsky
Fifth Advisor
Mohammad Matin
Keywords
Boolean Algebra, de Vries algebra, Flow, Monoid action, Proximity
Abstract
The main point of this dissertation is to introduce the action on de Vries algebra by a topological monoid and we denoted the resulting category by dVT. In order to reach our goal, we started with introducing new proofs for some well known results in the category of flows. Then, we studied the Generalized Smirnov's Theorem for flows. After we studied the new category (dVT), we were able to provide a new way to construct the Čech-stone flow compactification of a given flow. Finally, we developed the co-free T-de Vries algebra for a special case.
Publication Statement
Copyright is held by the author. User is responsible for all copyright compliance.
Rights Holder
Nawal Alznad
Provenance
Received from ProQuest
File Format
application/pdf
Language
en
File Size
106 p.
Recommended Citation
Alznad, Nawal, "T-de Vries Algebra" (2018). Electronic Theses and Dissertations. 1488.
https://digitalcommons.du.edu/etd/1488
Copyright date
2018
Discipline
Mathematics