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...
Level of Degree
Mathematics & Statistics
First Committee Member (Chair)
Second Committee Member
Third Committee Member
William Sherwin Eberly
Ramaley, James Francis. "Completion and Compactification Functors for Cauchy Spaces." (1967). https://digitalrepository.unm.edu/math_etds/161