Inverse sequences with proper bonding maps

Tomás Fernández-Bayort, and Antonio Quintero. "Inverse sequences with proper bonding maps." Colloquium Mathematicae 119.2 (2010): 301-319. <http://eudml.org/doc/283918>.

@article{TomásFernández2010,
abstract = {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.},
author = {Tomás Fernández-Bayort, Antonio Quintero},
journal = {Colloquium Mathematicae},
keywords = {inverse limit; Freudenthal end},
language = {eng},
number = {2},
pages = {301-319},
title = {Inverse sequences with proper bonding maps},
url = {http://eudml.org/doc/283918},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Tomás Fernández-Bayort
AU - Antonio Quintero
TI - Inverse sequences with proper bonding maps
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 301
EP - 319
AB - 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.
LA - eng
KW - inverse limit; Freudenthal end
UR - http://eudml.org/doc/283918
ER -