nLab
fundamental infinity-groupoid in a locally infinity-connected (infinity,1)-topos

Context

(,1)(\infty,1)-Topos Theory

(∞,1)-topos theory

Background

Definitions

Characterization

Morphisms

Extra stuff, structure and property

Models

Constructions

structures in a cohesive (∞,1)-topos

Homotopy theory

Contents

Definition

For (ΠΓLConst):HGrpd(\Pi \dashv \Gamma \dashv LConst) : \mathbf{H} \to \infty Grpd a locally ∞-connected (∞,1)-topos and XHX \in \mathbf{H} an object, we say that Π(X)\Pi(X) is the fundamental \infty-groupoid of XX in H\mathbf{H}.

Properties

Examples

Revised on May 30, 2011 14:42:42 by Urs Schreiber (131.211.239.186)