Deficient and multiple points of maps into a manifold. (arXiv:1810.09960v1 [math.AT])

For a map $f:X \to M$ into a manifold $M$, we study the sets of deficient and multiple points of $f$. In case of the set of deficient points, we estimate its dimension. For multiple points, we study its density in $X$, and we also provide examples where its complement is dense. 查看全文>>