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Inverse sequences with proper bonding maps

100%

Fernández-Bayort T., Quintero A.

Colloquium Mathematicum

2010

tom 119

nr 2

301-319

Some topological properties of inverse limits of sequences with proper bonding maps are studied. We show that (non-empty) limits of euclidean half-lines are one-ended generalized continua. We also prove the non-existence of a universal object for such limits with respect to closed embeddings. A further result states that limits of end-preserving sequences of euclidean lines are two-ended generalized continua.

On manifolds with nonhomogeneous factors

81%

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Open Mathematics

2 Quintero A.

1 Cárdenas M.

1 Fernández-Bayort T.

1 Lasheras F.

1 Repovš D.

1 2012

1 2010

Wyniki wyszukiwania

Inverse sequences with proper bonding maps

On manifolds with nonhomogeneous factors