The functor of idempotent probability measures and maps with uniformity properties of uniform spaces

A. A. Borubaev ; D. T. Eshkobilova

Eurasian mathematical journal, Tome 12 (2021) no. 3, pp. 29-41.

Résumé

In the present paper we established that the functor of idempotent probability measures with a compact support transforms open maps into open maps and preserves the weight and the completeness index of uniform spaces. Consequently, the space of idempotent probability measures with a compact support is a locally compact Hausdorff space if and only if the original space is such.

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