Sheaf theory | Differential geometry

Abstract differential geometry

The adjective abstract has often been applied to differential geometry before, but the abstract differential geometry (ADG) of this article is a form of differential geometry without the calculus notion of smoothness, developed by and from 1998 onwards. Instead of calculus, an axiomatic treatment of differential geometry is built via sheaf theory and sheaf cohomology using vector sheaves in place of bundles based on arbitrary topological spaces. Mallios says noncommutative geometry can be considered a special case of ADG, and that ADG is similar to synthetic differential geometry. (Wikipedia).

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From playlist Differential Geometry

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From playlist Solve Differential Equation (Particular Solution) #Integration

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From playlist Differential Geometry

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From playlist Math

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From playlist Differential Equations

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From playlist Popular presentations

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From playlist Spring 2014

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Related pages

Discrete differential geometry | Calculus | Analysis on fractals | Topological space | Synthetic differential geometry | Differential geometry | Fiber bundle | Sheaf cohomology | Euclidean vector | Noncommutative geometry