Publication Date

Spring 5-19-1967


The subject of this thesis is topological but the approach is categorical. We consider the approach as important as the subject itself and so we try to indicate whenever we have a categorically defined concept. In fact, we are led by this approach to make definitions and constructions so that certain relationships are categorical in nature. Our coreflective completion functor of Chapter IV is one example of this approach.

We wish here to give a brief outline of the historical develop­ment of convergence theory and how category theory has come to play a role in this development...

Degree Name


Department Name

Mathematics & Statistics

First Committee Member (Chair)

Oswald Wyler

Second Committee Member


Third Committee Member

William Sherwin Eberly

Document Type