Open AccessFunctor of Idempotent Probability Measures with Compact Support and Open Mappings
Author(s) -
A. Ya. Ishmetov
Publication year - 2021
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2021-67-4-693-706
Subject(s) - functor , idempotence , mathematics , probability measure , pure mathematics , discrete mathematics
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.