Compactifications, subordinations and uniformities

Master Thesis

1968

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http://hdl.handle.net/11427/13839
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thesis_sci_1968_salbany_s.pdf (1.74 MB)
Authors
Salbany, Sergio de Ornelas
Supervisors
Schlagbauer, H
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University of Cape Town

Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
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Abstract
This thesis relates hausdorff compactifications of spaces and other structures on the space. Each chapter starts with an introduction, which describes its content, and ends with a collection of notes, where the references relevant to the chapter are given. Most of the thesis is self-contained. The standard reference throughout is: General Topology, by Kelley. The notation is as in Kelley. We often use the abbreviations - s. t. for such that; iff for if and only if; i.e. for that is. This thesis arose from an attempt to prove the essential steps in the construction of vX, described by Aleksandrov in his survey Some Results in the Theory of Topological Spaces, Obtained Within the Last Twenty-Five Years.
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Includes bibliography.

Reference:

Salbany, S. 1968. Compactifications, subordinations and uniformities. University of Cape Town.

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Masters