nLab (infinity,1)-category theory

Contents

Context

$(\infty,1)$-Category theory

(∞,1)-category theory

Models

Higher category theory

higher category theory

Contents

Idea

In the pattern of (n,r)-categories the notion of (∞,1)-category is special in that it is precisely the structure that

This entry surveys the category theory of $(\infty,1)$-categories .

Universal constructions

The universal constructions of category theory generalize, with unique existence of universal morphisms replaced by the requirement of a contractible space of universal morphisms.

References

See the references at (infinity,1)-category.

Last revised on March 15, 2012 at 15:15:49. See the history of this page for a list of all contributions to it.