#
nLab
constant presheaf

Contents
### Context

#### Category Theory

#### Topos Theory

**topos theory**

## Background

## Toposes

## Internal Logic

## Topos morphisms

## Cohomology and homotopy

## In higher category theory

## Theorems

# Contents

## Definition

A presheaf is just a functor $C^{op} \to Set$ and it is a *constant presheaf* if that functor is a constant functor.

The sheafification of a constant presheaf is not in general constant anymore, but is called a locally constant sheaf (in fact it is also sometimes called just a constant sheaf, beware).

Created on June 20, 2013 at 12:46:27.
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