On continuation of a~topology from a~system of generators of a~group to a~topology on the group
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 37-41.

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In this paper we establish conditions under which a topology is continued from a subset of a group to a topology on the group coordinated with the group operation.
Keywords: topological group, topological embedding, $n$-semigroup.
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V. V. Mukhin; E. E. Filipova. On continuation of a~topology from a~system of generators of a~group to a~topology on the group. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 37-41. http://geodesic.mathdoc.fr/item/IVM_2009_6_a4/

[1] Cristoph F., “Embedding topological semigroups in topological group”, Semigroup Forum, 1:1 (1970), 224–231 | DOI | MR

[2] Rigelhof R., “Invariant measure on locally compact semigroups”, Proc. Amer. Math. Soc., 28:1 (1971), 173–176 | DOI | MR | Zbl

[3] Tserpes N., Mukherjea A., “A note on the embedding of topological semigroups”, Semigroup Forum, 2:1 (1971), 71–75 | DOI | MR | Zbl

[4] Mukhin V. V., “O vlozhenii polutopologicheskikh polugrupp v polutopologicheskie gruppy v kachestve otkrytoi podpolugruppy”, Voprosy algebry, 14, Gomel, 1999, 122–126

[5] Lau Ka-Sing, Lawson J., Zeng Wei-Bin, “Embedding locally compact semigroups into groups”, Semigroup Forum, 56:2 (1998), 151–156 | DOI | MR

[6] Ellis R., “Locally compact transformation groups”, Duke Math. J., 14:2 (1957), 119–125 | DOI | MR