Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space

Hanspeter Fischer, and David G. Wright. "Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space." Fundamenta Mathematicae 179.3 (2003): 267-282. <http://eudml.org/doc/282587>.

@article{HanspeterFischer2003,
abstract = {Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.},
author = {Hanspeter Fischer, David G. Wright},
journal = {Fundamenta Mathematicae},
keywords = {aspherical manifolds; universal cover; simply connected at infinity; ends of groups},
language = {eng},
number = {3},
pages = {267-282},
title = {Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space},
url = {http://eudml.org/doc/282587},
volume = {179},
year = {2003},
}

TY - JOUR
AU - Hanspeter Fischer
AU - David G. Wright
TI - Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
JO - Fundamenta Mathematicae
PY - 2003
VL - 179
IS - 3
SP - 267
EP - 282
AB - Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
LA - eng
KW - aspherical manifolds; universal cover; simply connected at infinity; ends of groups
UR - http://eudml.org/doc/282587
ER -