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• W3033595659 startingPage "108665" @default.
• W3033595659 abstract "A classical theorem of P. McMullen describes all valuations on polytopes that are invariant under translations and weakly continuous, i.e., continuous with respect to parallel displacements of the facets of a polytope. While it is typically not difficult to check that a valuation is weakly continuous, it is not clear how to decide whether it admits a continuous extension to convex bodies. In a special case of McMullen's construction a simple necessary and sufficient condition on the initial data of such an extension is obtained." @default.
• W3033595659 created "2020-06-12" @default.
• W3033595659 creator A5086811650 @default.
• W3033595659 date "2020-11-01" @default.
• W3033595659 modified "2023-10-03" @default.
• W3033595659 title "On the extendability by continuity of angular valuations on polytopes" @default.
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• W3033595659 doi "https://doi.org/10.1016/j.jfa.2020.108665" @default.
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