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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
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 
-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-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
-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
-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。
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