Место издания:Department of Mathematics, University of Patras Greece
Первая страница:130
Последняя страница:130
Аннотация:We say that a topological group G realizes homogeneity of a
topological space X if there is a continuous transitive action of
G on X. The investigation of spaces which homogeneity can be
realized by groups from some fixed class of topological groups was
initiated by A.~Arhangel'skii [1987].
In the talk we shall present results on simplification of acting
groups preserving properties of actions: transitivity, being a coset
space and preserving a fixed equiuniformity in case of a
G-Tychonoff space.
We shall give characterizations of topological spaces which are
coset spaces of (separable) metrizable groups and complete
metrizable (Polish) groups.