A Homotopy-like Class Invariant for Sub-manifolds of Punctured Euclidean Spaces

Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kumar

We consider the $D$-dimensional Euclidean space, ${\mathbb{R}}^D$, with certain $(D-N)$-dimensional compact, closed and orientable sub-manifolds (which we call \emph{singularity mani…