Compactification of G-Spaces Revisited. Modelling, Analysis and Simulation (MAS)

摘要

We discuss compactifications of G-spaces from a new point of view that completelydiffers from our earlier approaches. From a topologist's point of view, this new approach is more natural than the previous ones. In addition, it enables a unified discussion of the compactification and the linearization problem for G-spaces (which we shall discuss in a subsequent report). The central idea is to get a sufficiently large 'natural' family of elementary compact G-spaces which can play the same role as the interval (0;1) in ordinary topology.