The homotopy type of the space of maps of a homology 3-sphere into the 2-sphere
Pacific Journal of Mathematics1978Vol. 76(1), pp. 43–49
Citations Over TimeTop 10% of 1978 papers
Abstract
It is proved that if K is a compact, connected polyhedron such that H 2 (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.