nLab Grothendieck-Maltsiniotis infinity-category

Contents

category theory

Applications

Higher category theory

higher category theory

Contents

Idea

An algebraic definition of ∞-groupoids and ∞-categories similar to (but older than) the definition Batanin ∞-categories.

References

The original definition is indicated in words in sections 1-13 of

This has been extracted and formalized in

A comprehensive account of a simplified version of the definition and its generalization from $\infty$-groupoids to $\infty$-categories is given in

• Georges Maltsiniotis, Grothendieck $\infty$-groupoids and still another definition of $\infty$-categories (arXiv:1009.2331)

A definition as models of a dependent type theory is given in

The relation to Batanin ∞-categories is discussed in

• Dimitri Ara, Sur les $\infty$-groupoïdes de Grothendieck Thesis, under the supervision of G. Maltsiniotis, (2010) (pdf)

A brief survey is provided in

Last revised on October 3, 2017 at 16:17:40. See the history of this page for a list of all contributions to it.