Topology Atlas Document # ppae-03


The maximal G-compactifications of G-spaces with special actions

V. A. Chatyrko and K. L. Kozlov

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 15-21

An action on a G-space induces uniformities on the phase space. It is shown when the maximal G-compactification of a G-space can be obtained as a completion of the phase space with respect to one of these uniformities. Structure of G-spaces with special actions is investigated.

Mathematics Subject Classification. 54D35.
Keywords. $G$-space, uniformity.

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Copyright © 2002 Charles University and Topology Atlas. Published April 2002.