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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-2-9,
author = {Tom\'as Fern\'andez-Bayort and Antonio Quintero},
title = {Inverse sequences with proper bonding maps},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {301-319},
zbl = {1196.54055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-2-9}
}
Tomás Fernández-Bayort; Antonio Quintero. Inverse sequences with proper bonding maps. Colloquium Mathematicae, Tome 120 (2010) pp. 301-319. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-2-9/