Relations, homogeneity and group quotients

M.W. Warner · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1981

Abstract A set with a relation is isomorphic to a group quotient under the condition described as weak homogeneity, and to the quotient of a group with relation preserved by right and left translations if the homogeneity is strengthened. A method of constructing these group quotients and, furthermore, all such very homogeneous spaces, is described and an illustrative example given.

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