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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 ...
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 ...