Classical homogeneous spaces
نویسنده
چکیده
The group-invariant geometry on real and complex n-balls is hyperbolic geometry, if one pursues classical geometric notions in this context, in the sense that there are infinitely many straight lines (geodesics) through a given point not on a given straight line, thus contravening the parallel postulate for Euclidean geometry. We will not consider classical geometric notions here, since the transitive group action strongly determines structure in a different form more useful for our subsequent considerations. Still, this explains the terminology.
منابع مشابه
Hereditarily Homogeneous Generalized Topological Spaces
In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.
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