[[!redirects Xianzu]] ###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](http://www.arxiv.org/abs/1012.5885) refbase : [1822](http://www.math.ntnu.no/~stacey/RefBase/show.php?record=1822) =-- {: .bibliography} --- ###Comments### On first reading, this appears to be in the same mould as [[nlab:diffeological spaces]] and [[nlab:Chen spaces]]. The basic construction is as [[nlab:sheaves]] on the category of manifolds with corners (technically, a small equivalent subcategory). This reduces to sheaves on open subsets of $\mathbb{R}^n_k$ ($k$-quadrant in $\mathbb{R}^n$). 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