Geodesic
About linear uniformalization for countable family of topological properties
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 34-41

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In this paper we consider a uniformalization for topological properties in sense of E. Michael and J. Dugundji. We linearly uniformalize countable family of topological properties. Our result can be usefull in selection theory; in particular we obtain linear uniformalization of attractive property in closed subspaces of normed vector space.
Keywords: uniformalization, topological property, equivariant locally connected space, attractive family, remetrization of metric space. 
@article{IVM_2023_7_a3,
     author = {Dz. N. Kazhamiakin},
     title = {About linear uniformalization for countable family of topological properties},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {34--41},
     publisher = {mathdoc},
     number = {7},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_7_a3/}
}
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Dz. N. Kazhamiakin. About linear uniformalization for countable family of topological properties. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 34-41. http://geodesic.mathdoc.fr/item/IVM_2023_7_a3/