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Abstract convexity in metric spaces
(1985)Convexity in metric space is the main topic of discussion in this thesis. To undertake the study we have studied extensively the means introduced by Doss and included the results concerning means derived by Gahier ... 
Abstract convexity spaces
(1978)The principal question discussed in this dissertation is the problem of characterizing the linear and convex functions on generalized line spaces. A linear function is shown to be a convex function. The linear and ... 
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 ...