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# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

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

### Tom 179 / 2003

Fundamenta Mathematicae 179 (2003), 267-282 MSC: 57N99, 57S30, 20F99. DOI: 10.4064/fm179-3-5

#### Streszczenie

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.

#### Autorzy

• Hanspeter FischerDepartment of Mathematical Sciences
Ball State University
Muncie, IN 47306, U.S.A.
e-mail
• David G. WrightDepartment of Mathematics
Brigham Young University
Provo, UT 84602, U.S.A.
e-mail

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