Generalized Whitney topologies are Baire

de Faria, Edson; Hazard, Peter

doi:10.1090/proc/15168

Generalized Whitney topologies are Baire
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by Edson de Faria and Peter Hazard

Proc. Amer. Math. Soc. 148 (2020), 5441-5455

DOI: https://doi.org/10.1090/proc/15168

Published electronically: August 14, 2020

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Abstract:

In this paper we show that certain generalizations of the $C^r$-Whitney topology, which include the Hölder-Whitney and Sobolev-Whitney topologies on smooth manifolds, satisfy the Baire property, to wit, the countable intersection of open and dense sets is dense.

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