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Zero-set spaces and Pseudocompactness

We are concerned in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom. It is of interest that C:a11fell also omits thi...

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Bibliographic Details
Main Author: Gilmour, Christopher
Other Authors: Brummer, G
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2023
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Summary:We are concerned in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom. It is of interest that C:a11fell also omits this axiom.