Support functions of convex subsets of a finite-dimensional real space

Date
1998
Authors
Choi, Dug-Hwan
Major Professor
Advisor
Jonathan D. H. Smith
Committee Member
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Altmetrics
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Mathematics
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Mathematics
Abstract

The main aim of this thesis is to extend the concept of the support function from bounded non-empty convex sets. The idea is to find a suitable codomain Dd+/-, replacing the codomain R of Minkowski's support functions, so that convex subsets of Rd are determined uniquely by their D d+/--valued support functions defined on Rd. Conditions must also be found, characterizing the support functions among all the Dd +/--valued functions on Rd.

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