Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 223, Pages 36–49
DOI: https://doi.org/10.36535/0233-6723-2023-223-36-49 (Mi into1153) 		 
Universality property for spaces that continuously contain topological groups and their mappings

S. D. Iliadisab, Yu. V. Sadovnichiiab

a Moscow Center for Fundamental and Applied Mathematics
b Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2023-223-36-49
Abstract: 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.
Document Type: Article
UDC: 515.12
MSC: 54H11
Language: Russian
Citation: S. D. Iliadis, Yu. V. Sadovnichii, “Universality property for spaces that continuously contain topological groups and their mappings”, 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, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 36–49
Citation in format AMSBIB
\Bibitem{IliSad23}
\by S.~D.~Iliadis, Yu.~V.~Sadovnichii
\paper Universality property for spaces that continuously contain topological groups and their mappings
\inbook 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
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 223
\pages 36--49
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1153}
\crossref{https://doi.org/10.36535/0233-6723-2023-223-36-49}
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