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Finitely additive measures of virtual polytopes. (Russian) Zbl 0778.52006

The paper deals with a generalization of the classical theory of finitely additive measures of convex polytopes. An extensive chapter discusses fundamental facts of the theory of convex chains. Known results are proved in a stronger form by using techniques of integration based on Euler characteristic in the sense of O. Ya. Viro. Also a generalization of the notion of supporting functions is given.
Reviewer: H.-D.Hecker (Jena)

MSC:

52B11 \(n\)-dimensional polytopes
52A99 General convexity
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