Topological Transformation Groups: Selected Topics

Abstract

In this paper all topological spaces are Tychonoff. A topological transformation group, or a G-space, as usual, is a triple (G,X, π), where π : G×X → X, π(g, x) := gx is a continuous action of a topological group G on a topological space X. Let G act on X1 and on X2. A continuous map f : X1 → X2 is a G-map (or, an equivariant map) if f(gx) = gf(x) for every… (More)

Topics

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