path infinity-groupoid

The path ∞-groupoid $\Pi(X)$ of a generalized smooth space $X$ is a geometric version of the fundamental ∞-groupoid of $X$: its 1-morphisms form the geometric space of paths in $X$, and so forth. Its truncations to lower categorical degree yield

For details see at *shape via cohesive path ∞-groupoid*.

Last revised on June 18, 2021 at 05:51:50. See the history of this page for a list of all contributions to it.