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Article

Functor of Idempotent Probability Measures with Compact Support and Open Mappings

A. Ya. IshmetovTashkent Institute of Architecture and Civil Engineering
Contemporary Mathematics Fundamental Directionsjournal2021en
ABI

Abstract

In this paper, we show that the functor of idempotent probability measures with compact support acting in the category of Tikhonov spaces and their continuous mappings is normal. It is found that this functor is monodic. Further, it is proved that the functor of idempotent probability measures with compact support preserves the openness of continuous mappings of Tikhonov spaces.

Topics

Topological and Geometric Data AnalysisMathematical Biology Tumor Growth

Identifiers

DOI
10.22363/2413-3639-2021-67-4-693-706

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