Smooth coalgebras
Jaskolski, Z.
arXiv, 9712045 / Harvested from arXiv
Text on arXiv
A complete mathematical framework for coalgebraic formulation of supergeometry and its infinite-dimensional extension is proposed. Within this approach a supermanifold is defined as a graded coalgebra endowed with a smooth structure. The category of such coalgebras is constructed and analysed. It is shown that it contains as its full subcategories both the category of smooth Fr\'{e}chet manifolds and the category of finite-dimensional Berezin-Leites-Kostant supermanifolds.
Publié le : 1997-12-23
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9712045,
     author = {Jaskolski, Z.},
     title = {Smooth coalgebras},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712045}
}

Jaskolski, Z. Smooth coalgebras. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712045/