A Comparison of the functors of points of Supermanifolds
arXiv:0902.1824
Abstract
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.
arXiv admin note: substantial text overlap with arXiv:0908.1872