Geometrical properties of the space of idempotent probability measures

2018/11/19 by A. A. Zaitov, Zaitov, Adilbek, Kholsaid Kholturaev +1
Mathematics · #54C50 #54C55 #FOS: Mathematics #General Topology (math.GN) #Morphological variations and asymmetry #Point processes and geometric inequalities #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1811.08325

openalex publication_date 2018/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish some geometrical properties of the space of idempotent probability measures. In particular, for a compact X it is established that if the space I₃(X)\backslash X is hereditary normally, then X is metrizable; some subsets allocate of the space of idempotent probability measures which are, respectively, Z-sets, max-plus-convex subsets, G_δ-sets.

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