Title
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.
Recommended Citation
Schauerte, Anneliese, "Biframes" (1992). Open Access Dissertations and Theses. Paper 3769.
http://digitalcommons.mcmaster.ca/opendissertations/3769