A Comparison of the functors of points of Supermanifolds
classification
🧮 math.RA
math-phmath.DGmath.MP
keywords
functorpointssupermanifoldstheoremsapplicationscalculuscalledcharacterization
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We study the functor of points and the local functor of points (here called the Weil--Berezin functor) for smooth and holomorphic supermanifolds, providing characterization theorems and fully discussing the representability issues. In the end we examine applications to differential calculus including the transitivity theorems.
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