We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of -immersions, which are immersions without -fold self-intersections. We describe the first layers of the tower and discuss the connectivities of the associated maps. We also prove several results about -immersions that are of independent interest.
"Low stages of the Taylor tower for $r$-immersions." Involve 13 (1) 51 - 75, 2020. https://doi.org/10.2140/involve.2020.13.51