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On manifolds with nonhomogeneous factors

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arxiv 1203.4151 v2 pith:IOLKTJ44 submitted 2012-03-19 math.GT math.GN

classification math.GTmath.GN
keywords factorshomogeneousmanifoldsnonhomogeneousspacesactuallyconcerningconnected
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We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old problem in general topology concerning homogeneous spaces.

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