ON 4-MANIFOLDS WITH FINITELY DOMINATED COVERING-SPACES

Authors
HILLMAN JA
Citation
Ja. Hillman, ON 4-MANIFOLDS WITH FINITELY DOMINATED COVERING-SPACES, Proceedings of the American Mathematical Society, 121(2), 1994, pp. 619-626
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
121
Issue
2
Year of publication
1994
Pages
619 - 626
Database
ISI
SICI code
0002-9939(1994)121:2<619:O4WFDC>2.0.ZU;2-P
Abstract
We show that if the universal covering space M of a closed 4-manifold M is finitely dominated then either M is aspherical, or M is homotopy equivalent to S2 or S3, pi1(M) is finite. We also give a criterion for a closed 4-manifold to be homotopy equivalent to one which fibres ove r the circle.