Inverse sequences with proper bonding maps
Tom 119 / 2010
Colloquium Mathematicum 119 (2010), 301-319
MSC: Primary 54F15, 18A30; Secondary 54C10, 54D40.
DOI: 10.4064/cm119-2-9
Streszczenie
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.
