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Generalized Whitney topologies are Baire
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-08-14 , DOI: 10.1090/proc/15168
Edson de Faria , Peter Hazard

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.


中文翻译:

广义Whitney拓扑是Baire

摘要:本文证明了$ C ^ r $-Whitney拓扑的某些概括,包括光滑流形上的Hölder-Whitney和Sobolev-Whitney拓扑,满足Baire性质,也就是说,开密度集合的可数交集是稠密的。
更新日期:2020-10-19
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