Basic Concepts of Synthetic Differential Geometry 124 it is important to share

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After this basic summary of the current outer

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Basic Concepts of Synthetic Differential Geometry 124 it is important to shareStarting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie