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Abstract

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.

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© 2000 Springer Science+Business Media New York

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Borwein, J.M., Lewis, A.S. (2000). Special Cases. In: Convex Analysis and Nonlinear Optimization. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-9859-3_5

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  • DOI: https://doi.org/10.1007/978-1-4757-9859-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-9861-6

  • Online ISBN: 978-1-4757-9859-3

  • eBook Packages: Springer Book Archive

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