Sheaf representations and graded manifolds (Q1094525)
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scientific article; zbMATH DE number 4025662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sheaf representations and graded manifolds |
scientific article; zbMATH DE number 4025662 |
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Sheaf representations and graded manifolds (English)
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1987
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The theory of sheaf representation for ringed spaces is extended in this paper to the case of graded rings. This provides some interesting applications in the theory of manifolds. The main result of the paper describes a sheaf representation for any graded manifold, which yields a full embedding of the category of graded manifolds in the category of \({\mathbb{Z}}_ 2\)-locally ringed spaces.
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Gel'fand rings
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sheaf representation
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graded rings
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graded manifold
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\({bbfZ}_ 2\)-locally ringed spaces
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