Generalisations of filters and uniform spaces

Title: Generalisations of filters and uniform spaces
Creator: Muraleetharan, Murugiah
ThesisAdvisor: Burton, Mike
Subject: Filters (Mathematics)
Subject: Uniform spaces
Date: 1997
Type: Thesis
Type: Masters
Type: MSc
Identifier: vital:5409
Identifier: http://hdl.handle.net/10962/d1005223
Identifier: Filters (Mathematics)
Identifier: Uniform spaces
Description: The notion of a filter F ∈ 2²x has been extended to that of a : prefilter: ƒ ∈ 1²x, generalised filter ƒ ∈ 2²x x and fuzzy filter ᵩ ∈ 1¹x. A uniformity is a filter with some other conditions and the notion of a uniformity D ∈ 2²xxx has been extended to that of a : fuzzy uniformity d ∈ 1²xxx , generalised uniformity ∈ 1²xxx and super uniformity b ∈ 1¹x. We establish categorical embeddings from the category of uniform spaces into the categories of fuzzy uniform spaces, generalised uniform spaces and super uniform spaces and also categorical embeddings into the category of super uniform spaces from the categories of fuzzy uniform spaces and generalised uniform spaces.
Format: 125 p., pdf
Publisher: Rhodes University, Faculty of Science, Mathematics
Language: English
Rights: Muraleetharan, Murugiah

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