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In this chapter we introduce the concept of polyhedron in a locally convex environment. We study polyhedra from range space point of view, showing that, using this approach, the investigation becomes a whole matter of theory of cones. Along the way we state a support version of the KM Theorem.

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Polyhedra and Cups in Locally Convex Spaces

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  • 发表日期：

    2025年

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  • Paolo d’Alessandro

摘要

In this chapter we introduce the concept of polyhedron in a locally convex environment. We study polyhedra from range space point of view, showing that, using this approach, the investigation becomes a whole matter of theory of cones. Along the way we state a support version of the KM Theorem.