On manifolds with nonhomogeneous factors

Manuel Cárdenas; Francisco Lasheras; Antonio Quintero; Dušan Repovš

Open Mathematics (2012)

  • Volume: 10, Issue: 3, page 857-862
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Manuel Cárdenas, et al. "On manifolds with nonhomogeneous factors." Open Mathematics 10.3 (2012): 857-862. <http://eudml.org/doc/269658>.

@article{ManuelCárdenas2012,
abstract = {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.},
author = {Manuel Cárdenas, Francisco Lasheras, Antonio Quintero, Dušan Repovš},
journal = {Open Mathematics},
keywords = {k-homogeneity; Rigidity; ANR; Upper semicontinuous decomposition; Generalized manifold; Cell-like resolution; General position property; Manifold recognition theorem; -homogeneity; rigidity; upper semicontinuous decomposition; generalized manifold; cell-like resolution; general position property; manifold recognition theorem},
language = {eng},
number = {3},
pages = {857-862},
title = {On manifolds with nonhomogeneous factors},
url = {http://eudml.org/doc/269658},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Manuel Cárdenas
AU - Francisco Lasheras
AU - Antonio Quintero
AU - Dušan Repovš
TI - On manifolds with nonhomogeneous factors
JO - Open Mathematics
PY - 2012
VL - 10
IS - 3
SP - 857
EP - 862
AB - 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.
LA - eng
KW - k-homogeneity; Rigidity; ANR; Upper semicontinuous decomposition; Generalized manifold; Cell-like resolution; General position property; Manifold recognition theorem; -homogeneity; rigidity; upper semicontinuous decomposition; generalized manifold; cell-like resolution; general position property; manifold recognition theorem
UR - http://eudml.org/doc/269658
ER -

References

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