Odd map between spheres (source code)

= Odd map between spheres
{title2=$f(-x)=-f(x)$}

An odd map between <spheres> is a <continuous map> $f:S^n\to S^m$ satisfying $f(-x)=-f(x)$. Thus it is equivariant for the two <antipodal maps>. It descends to a <continuous map> of <Real projective spaces>.