Vol. 76, No. 1, 1978

Recent Issues
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
The homotopy type of the space of maps of a homology 3-sphere into the 2-sphere

V. L. (Vagn Lundsgaard) Hansen

Vol. 76 (1978), No. 1, 43–49
Abstract

It is proved that if K is a compact, connected polyhedron such that H2(K;Z) = 0, then all the components in the space of maps of K into the 2-sphere are homeomorphic. For K a polyhedral homology 3-sphere the common homotopy type of the components is identified and shown to be independent of K.

Mathematical Subject Classification 2000
Primary: 58D15
Secondary: 54C35, 55P99
Milestones
Received: 19 January 1977
Revised: 14 October 1977
Published: 1 May 1978
Authors
V. L. (Vagn Lundsgaard) Hansen