Geodesic
The functor of idempotent probability measures and maps with uniformity properties of uniform spaces
Eurasian mathematical journal, Tome 12 (2021) no. 3, pp. 29-41

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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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     author = {A. A. Borubaev and D. T. Eshkobilova},
     title = {The functor of idempotent probability measures and maps with uniformity properties of uniform spaces},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_3_a3/}
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A. A. Borubaev; D. T. Eshkobilova. The functor of idempotent probability measures and maps with uniformity properties of uniform spaces. Eurasian mathematical journal, Tome 12 (2021) no. 3, pp. 29-41. http://geodesic.mathdoc.fr/item/EMJ_2021_12_3_a3/