A remark on stability and the D-topology of mapping spaces
Differential Geometry
2023-05-30 v1
Abstract
We discuss how stability is related to the D-topology of mapping spaces, equipped with the functional diffeology. Indeed, we show that stable classes of mapping spaces are D-open. After a reformulation of the classical stability theorem of manifolds with respect to the D-topology, we prove a version of the stability theorem in the class of diffeological \'etale manifolds.
Keywords
Cite
@article{arxiv.2305.18129,
title = {A remark on stability and the D-topology of mapping spaces},
author = {Alireza Ahmadi},
journal= {arXiv preprint arXiv:2305.18129},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2203.05994