Functor of idempotent probability measures with compact support and open mappings

A. Ya. Ishmetov

Tashkent Institute of Architecture and Civil Engineering, Tashkent, Uzbekistan

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.

UDC: 515.12

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