Date of Award

8-1-2018

Document Type

Dissertation

Degree Name

Ph.D.

Department

Mathematics

First Advisor

Richard N. Ball, Ph.D.

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.

Provenance

Received from ProQuest

Rights holder

Nawal Alznad

File size

106 p.

File format

application/pdf

Language

en

Discipline

Mathematics

Available for download on Friday, September 20, 2019

Included in

Mathematics Commons

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