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Special morphisms for zero-set spaces

Published online by Cambridge University Press:  17 April 2009

Christopher R.A. Gilmour
Christopher R.A. Gilmour
Affiliation:
Department of Mathematics, University of Cape Town, Rondebosch, Republic of South Africa.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 57 - 68
Copyright
Copyright © Australian Mathematical Society 1975

References

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