Vol. 76, No. 1, 1978

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ISSN: 0030-8730
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