Group-theoretic conditions under which
closed aspherical manifolds are covered by Euclidean space
Fundamenta Mathematicae, Tome 179 (2003) no. 3, pp. 267-282
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
hass rubinstein scott showed every closed aspherical irreducible manifold whose fundamental group contains fundamental group closed aspherical surface covered euclidean space theorem does generalize higher dimensions however provide geometric tools which variations theorem proved dimensions
Affiliations des auteurs :
Hanspeter Fischer 1 ; David G. Wright 2
@article{10_4064_fm179_3_5,
author = {Hanspeter Fischer and David G. Wright},
title = {Group-theoretic conditions under which
closed aspherical manifolds are covered by {Euclidean} space},
journal = {Fundamenta Mathematicae},
pages = {267--282},
publisher = {mathdoc},
volume = {179},
number = {3},
year = {2003},
doi = {10.4064/fm179-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm179-3-5/}
}
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 SP - 267 EP - 282 VL - 179 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm179-3-5/ DO - 10.4064/fm179-3-5 LA - en ID - 10_4064_fm179_3_5 ER -
%0 Journal Article %A Hanspeter Fischer %A David G. Wright %T Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space %J Fundamenta Mathematicae %D 2003 %P 267-282 %V 179 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm179-3-5/ %R 10.4064/fm179-3-5 %G en %F 10_4064_fm179_3_5
Hanspeter Fischer; David G. Wright. Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space. Fundamenta Mathematicae, Tome 179 (2003) no. 3, pp. 267-282. doi: 10.4064/fm179-3-5
Cité par Sources :