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Some topological properties of support points of convex sets

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Abstract

It is shown, as a corollary to Trojanski’s renorming theorem, that the set of support points (of certain closed convex sets) is connected. Some connectedness properties are established for support functionals, and it is also shown that the support points form an Fσ.

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Authors and Affiliations

  1. University of Washington, Seattle, Washington

    R. R. Phelps

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  1. R. R. Phelps
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Phelps, R.R. Some topological properties of support points of convex sets. Israel J. Math. 13, 327–336 (1972). https://doi.org/10.1007/BF02762808

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  • DOI: https://doi.org/10.1007/BF02762808

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