On manifolds with nonhomogeneous factors

• Autorzy: Manuel Cárdenas , Francisco Lasheras , Antonio Quintero , Dušan Repovš
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

k-homogeneity; Rigidity; ANR; Upper semicontinuous decomposition; Generalized manifold; Cell-like resolution; General position property; Manifold recognition theorem

Kategorie tematyczne

• 53C70: Direct methods ( G -spaces of Busemann, etc.)
• 57N15: Topology of E n , n -manifolds ( 4 n ∞ )
• 57N75: General position and transversality
• 57P99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 857-862

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Manuel Cárdenas

• Universidad de Sevilla

autor

Francisco Lasheras

• Universidad de Sevilla

autor

Antonio Quintero

• Universidad de Sevilla

autor

Dušan Repovš

• University of Ljubljana

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Identyfikatory

DOI

10.2478/s11533-012-0026-6