A COMPARISON OF THE FUNCTORS OF POINTS OF SUPERMANIFOLDS-Reference-Cited by-同舟云学术

A COMPARISON OF THE FUNCTORS OF POINTS OF SUPERMANIFOLDS

Published:2012-12-20 Issue:03 Volume:12 Page:1250152
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BALDUZZI L.¹,CARMELI C.²³,FIORESI R.⁴

Affiliation:

1. Dipartimento di Fisica, Università di Genova, and INFN, sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

2. DIME, Università di Genova, Via Cadorna 2, 17100 Savona, Italy

3. INFN, sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

4. Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy

Abstract

We study the functor of points and different local functors of points 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501526

Reference25 articles.

1. Super 𝐺-spaces

2. North-Holland Mathematical Library;Hörmander L.,1990

3. The local functors of points of supermanifolds

4. The Geometry of Supermanifolds

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