Geodesic
Universality property for spaces that continuously contain topological groups and their mappings
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 36-49

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In the paper, (separable metric) spaces continuously containing topological groups and mappings of such spaces are considered. It is proved that in some classes of such spaces and classes of mappings associated with saturated classes of spaces there exist regular (and isometrically) universal elements.
Keywords: topological group, separable metric space, isometry, regular mapping, saturated class of spaces, universal space, universal mapping. 
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     title = {Universality property for spaces that continuously contain topological groups and their mappings},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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S. D. Iliadis; Yu. V. Sadovnichii. Universality property for spaces that continuously contain topological groups and their mappings. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 36-49. http://geodesic.mathdoc.fr/item/INTO_2023_223_a3/