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Inverse sequences with proper bonding maps

Tomás Fernández-BayortAntonio Quintero — 2010

Colloquium Mathematicae

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.

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