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On strong forms of homogeneity of topological spaces

B. V. Sorin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The concept of a strongly homogeneous $G$-space is introduced and conditions of equivalence of continuous homogeneity to strong homogeneity are obtained. The topological structure of an acting group of a strongly homogeneous $G$-space is established.

Key words: strong homogeneity, continuous homogeneity, topological left-loop, invariant uniformity, cross-section of action.

UDC: 515.122.4

Received: 17.04.2019

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, 75:3, 117–120

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