A Comparison of the functors of points of Supermanifolds

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

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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