nLab constant presheaf

Redirected from "constant presheaves".
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Context

Category Theory

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

Contents

Definition

A presheaf is just a functor C opSetC^{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. See the history of this page for a list of all contributions to it.