Local homology from a link
= Local homology from a link
If a neighborhood of $x$ is a cone on a compact link $L$, excision and the long exact sequence of the cone pair give
$$
H_i(X,X\setminus\{x\})\cong\widetilde H_{i-1}(L).
$$
= Local homology from a link
If a neighborhood of $x$ is a cone on a compact link $L$, excision and the long exact sequence of the cone pair give
$$
H_i(X,X\setminus\{x\})\cong\widetilde H_{i-1}(L).
$$