Sheaf of real-analytic functions

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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


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

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