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A general theory of convexity
Authors:Stanley P Gudder
Institution:1. Department of Mathematics and Computer Science, University of Denver, Denver, USA
Abstract:A generalization of the usual notion of convexity is developed. It is shown that for certain applications some of the postulates of the generalized theory must be relaxed. The independence of the postulates is discussed and representation theorems are given. A topology which is compatible with the convexity structure is constructed.
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