Date of Award

9-1972

Degree Type

Thesis

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Supervisor

Dr. T. H. Choe

Abstract

In this thesis we consider categories of partially ordered topological spaces, reflexions and coreflexions, and in particular compactifications and real compactifications.

We study projective and injective objects in some subcategories.

The category of partially ordered topological spaces being an extension of the category of topological spaces, we generalize theorems on CX of Stone and Shirota, by the introduction of the appropriate functors.



Included in

Mathematics Commons

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