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Algebra i Analiz, 2020 Volume 32, Issue 1, Pages 1–11 (Mi aa1679)
Research Papers

A new valuation on polyhedral cones

H. Zheng, M. Zydor

Department of Mathematics, University of Michigan, Ann Arbor, MI USA

Abstract: On polyhedral cones, a new family of valuations is introduced; they are valued in the space of bounded polyhedra.

Keywords: polyhedral cones, Brianchon–Gram–Sommerville relation, bounded polyhedron.

MSC: 52B05

Received: 08.02.2019

Language: English


 English version: St. Petersburg Mathematical Journal, 2021, 32:1, 1–8

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© Steklov Math. Inst. of RAS, 2024