Browsing by Advisor
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Compact sets in Banach spaces
(1990)Connections between several compact spaces are studied in this thesis. Proofs are given when one implies another, and so are counterexamples when one does not. The spaces discussed in this thesis are: uniform Eberlein ... -
Linearization of an abstract convexity space
(1978)Axiomatic convexity space, introduced by Kay and Womble [22] , will be the main topic discussed in this thesis. An axiomatic convexity space (X,C), which is domain finite and has regular straight segments, is called a ... -
Metrization and sigma bases
(1969)In this thesis, we use the concept of sigma base to study the metrizability of various topological spaces. Chapter 1 is devoted to the definition of basic terms, a proof of Urysohn's Metrization Theorem, and an introduction ...