Sheaf of real-analytic functions

This article describes a sheaf on a manifold (the manifold may possess some additional structure in terms of which the sheaf is defined)
View other sheaves on manifolds

Definition

Let $M$ be a real-analytic manifold. The sheaf of real-analytic functions on $M$ is defined as follows:

• To every open subset $U$ of $M$ it associates the real-analytic functions on $U$
• The restriction maps are simply function restriction

Related notions

• Sheaf of infinitely differentiable functions
• Sheaf of multiply differentiable functions
• Sheaf of continuous functions