orbit space


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orbit space

[′ȯr·bət ‚spās]
(mathematics)
The orbit space of a G space X is the topological space whose points are equivalence classes obtained by identifying points in X which have the same G orbit and whose topology is the largest topology that makes the function which sends x to its orbit continuous.
References in periodicals archive ?
We turn now to the global structure of the orbit space.
is in fact tamely embedded in the orbit space by results of Bing [Bi].
It remains to show that the orbit space is an integral homology sphere.
Singer develops a general theory with special attention to the change-of-rings spectral sequence for the cohomology of an extension of Hopf algebras and to the Eilenberg-Moore spectral sequence for the cohomology for the sequence for the cohomology of classifying spaces and homotopy orbit spaces.