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On manifolds with nonhomogeneous factors. (English) Zbl 1243.57015

Summary: 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.

MSC:

57N15 Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
57N75 General position and transversality
57P99 Generalized manifolds
53C70 Direct methods (\(G\)-spaces of Busemann, etc.)
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References:

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