#
nLab

cartesian closed (infinity,1)-category

Contents
### Context

#### $(\infty,1)$-Category theory

**(∞,1)-category theory**

## Background

## Basic concepts

## Universal constructions

## Local presentation

## Theorems

## Models

#### Monoidal categories

**monoidal categories**

## With symmetry

## With duals for objects

## With duals for morphisms

## With traces

## Closed structure

## Special sorts of products

## Semisimplicity

## Morphisms

## Internal monoids

## Examples

## Theorems

## In higher category theory

# 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.

Last revised on December 16, 2011 at 01:14:35.
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