Abstract
The author obtains characterizations of the quotients, epimorphisms and extreme monomorphisms in the category of separated zero-set spaces and zero-set maps (defined by Hugh Gordon [Pacific J. Math. 36 (1971), 133–157]). The method employed, that of initiality constructions, is also used to elucidate the relationship between zero-set spaces and certain other topological structures by means of forgetful functors and their right inverses. Characterizations of pseudocompactness for zero-set spaces then follow.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. Pseudocompact σ-Frames;Mathematica Slovaca;2015-04-01
2. Essential reflections versus minimal embeddings;Journal of Pure and Applied Algebra;1985
3. Topological categories;Topology and its Applications;1984-09
4. Realcompact spaces and regular σ -frames;Mathematical Proceedings of the Cambridge Philosophical Society;1984-07
5. REAL COMPACTIFICATIONS THROUGH ZERO-SET SPACES;Quaestiones Mathematicae;1983-01