Generalized Whitney Topologies are Baire
Geometric Topology
2018-09-28 v1 Differential Geometry
Dynamical Systems
Abstract
In this paper we show that certain generalizations of the -Whitney topology, which include the H\"older-Whitney and Sobolev-Whitney topologies on smooth manifolds, satisfy the Baire property, to wit, the countable intersection of open and dense sets is dense.
Cite
@article{arxiv.1809.10574,
title = {Generalized Whitney Topologies are Baire},
author = {Edson de Faria and Peter Hazard},
journal= {arXiv preprint arXiv:1809.10574},
year = {2018}
}
Comments
14 pages. Comments Welcome!