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Title

Biframes

Date of Award

2-1992

Degree Type

Thesis

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Supervisor

Bernhard Banaschewski

Abstract

Biframes and their homomorphisms are the subject of this thesis. Various traditional notions from topology and frame theory are extended to this setting: compactness, regularity, normality, zero-dimensionality, Booleanness, coherence, super-coherence, continuity, supercontinuity and connectedness. The category of biframes is shown to be complete and cocomplete, and its monomorphisms, epimorphisms and projectives characterized. Of particular importance are the compactifications--their correspondence with strong inclusions, the existence of zero-dimensional ones and of least ones, and their relations to rim-compactness and normality.

Included in

Mathematics Commons

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