nLab path infinity-groupoid

Contents

Context

Cohesive homotopy theory

cohesive topos

cohesive (∞,1)-topos

cohesive homotopy type theory

Structures in a cohesive $(\infty,1)$-topos

structures in a cohesive (∞,1)-topos

Structures with infinitesimal cohesion

infinitesimal cohesion?

Contents

Idea

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 July 3, 2017 at 07:16:06. See the history of this page for a list of all contributions to it.