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On manifolds with nonhomogeneous factors

100%

Cárdenas M., Lasheras F., Quintero A., Repovš D.

Open Mathematics

2012

tom 10

nr 3

857-862

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.

Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties

100%

Halverson D., Repovš D.

Open Mathematics

2013

tom 11

nr 11

1932-1948

We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint arc-disk property is satisfied.

Ograniczanie wyników

2 Open Mathematics

2 Repovš D.

1 Cárdenas M.

1 Halverson D.

1 Lasheras F.

1 Quintero A.

1 2013

1 2012

Wyniki wyszukiwania

On manifolds with nonhomogeneous factors

Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties