nLab cartesian closed (infinity,1)-category

Context

$(\infty,1)$-Category theory

(∞,1)-category theory

Models

Monoidal categories

monoidal categories

Contents

Definition

An (∞,1)-category with (∞,1)-products $\times$ which is a closed monoidal (∞,1)-category with respect to $\otimes := \times$ is called a cartesian closed $(\infty,1)$-category.

Examples

Every (∞,1)-topos is a cartesian closed $(\infty,1)$-category. See the section Closed monoidal structure.

Revised on December 16, 2011 01:14:35 by Urs Schreiber (82.169.65.155)