Differential structure, tangent structure, and SDG (Q2015833)
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scientific article; zbMATH DE number 6307137
| Language | Label | Description | Also known as |
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| English | Differential structure, tangent structure, and SDG |
scientific article; zbMATH DE number 6307137 |
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Differential structure, tangent structure, and SDG (English)
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24 June 2014
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The principal aim in this paper is to connect the tangent structure of [\textit{J. Rosický}, Diagrammes 12, JR 1--JR 11 (1984; Zbl 0561.18008)] to the differential structure of [\textit{R. F. Blute} et al., Theory Appl. Categ. 22, 622--672 (2009; Zbl 1262.18004)]. Here, Rosický's work is modified in several points so that bundles are commutative monoids rather than commutative groups. The adjointness between Cartesian differential categories and Cartesian tangent categories is established.
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tangent structure
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Cartesian differential category
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synthetic differential geometry
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