Intrinsic convergence of the homological Taylor tower for $r$-immersions in ${\mathbb{R}}^n$

Gregory Arone, Franjo Sarcevic

For an integer $r\ge 2$, the space of $r$-immersions of $M$ in ${\mathbb{R}}^n$ is defined to be the space of immersions of $M$ in ${\mathbb{R}}^n$ such that at most $r-1$ points of $M$ are mapped to…