2000 | OriginalPaper | Chapter
Special Cases
Authors : Jonathan M. Borwein, Adrian S. Lewis
Published in: Convex Analysis and Nonlinear Optimization
Publisher: Springer New York
Included in: Professional Book Archive
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In our earlier section on theorems of the alternative (Section 2.2), we observed that finitely generated cones are closed. Remarkably, a finite linear-algebraic assumption leads to a topological conclusion. In this section we pursue the consequences of this type of assumption in convex analysis.