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

• Autorzy: Hanspeter Fischer , David G. Wright
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57N99: None of the above, but in this section
• 20F99: None of the above, but in this section
• 57S30: Discontinuous groups of transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 179
• Numer: 3
• Strony: 267-282

Daty

wydano

2003

Twórcy

autor

Hanspeter Fischer

• Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, U.S.A.

autor

David G. Wright

• Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A.

Identyfikatory

DOI

10.4064/fm179-3-5