Geodesic
Functor of idempotent probability measures with compact support and open mappings
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 693-706

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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. 
@article{CMFD_2021_67_4_a5,
     author = {A. Ya. Ishmetov},
     title = {Functor of idempotent probability measures with compact support and open mappings},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {693--706},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a5/}
}
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A. Ya. Ishmetov. Functor of idempotent probability measures with compact support and open mappings. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 693-706. http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a5/