On perfect metrizability of the functor of idempotent probability measures

TL;DR

This paper proves that the functor of idempotent probability measures is perfectly metrizable within the category of compact spaces and continuous maps, advancing the understanding of its topological properties.

Contribution

It establishes the perfect metrizability of the functor of idempotent probability measures, a novel result in the study of functorial topological properties.

Findings

The functor of idempotent probability measures is perfect metrizable.

The result applies within the category of compacta and continuous maps.

This enhances the theoretical understanding of the functor's topological structure.

Abstract

In this paper we establish that the functor of idempotent probability measures acting in the category of compacta and their continuous mappings is perfect metrizable.