lSpace Infinite dimensional manifolds from a new point of view (Rev #3)

Reference Details

cite key
Xianzu
title
Infinite dimensional manifolds from a new point of view
author
Xianzu, L.
eprint
http://arxiv.org/abs/1012.5885v1
mrclass
math.AT
note
arXiv:1012.5885v1; 17pages
url
http://arxiv.org/abs/1012.5885v1
arxiv
1012.5885
refbase
1822

Comments

On first reading, this appears to be in the same mould as diffeological spaces and Chen spaces. The basic construction is as sheaves on the category of manifolds with corners (technically, a small equivalent subcategory). This reduces to sheaves on open subsets of k n\mathbb{R}^n_k (kk-quadrant in n\mathbb{R}^n). It therefore sits between diffeological spaces and Chen spaces and will have functors to each (with adjunctions) exactly as lie between diffeological spaces and Chen spaces.


category: smootheology

Revision on January 4, 2011 at 10:40:15 by Andrew Stacey. See the history of this page for a list of all contributions to it.