On spaces of maps of $n$-manifolds into the $n$-sphere
Vagn Lundsgaard Hansen · Transactions of the American Mathematical Society · 1981
The space of (continuous) maps of a closed, oriented manifold ${C^n}$ into the $n$-sphere ${S^n}$ has a countable number of (path-) components. In this paper we make a general study of the homotopy classification problem for such a set of components. For ${C^n} = {S^n}$, the problem was solved in [