GENERALIZED WHITNEY TOPOLOGIES ARE BAIRE

de Faria, Edson; Hazard, Peter

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

GENERALIZED WHITNEY TOPOLOGIES ARE BAIRE

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Author(s):	de Faria, Edson ^[1] ; Hazard, Peter ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil ^[2] Univ Fed Fluminense, Inst Matemat & Estat, Niteroi, RJ - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 148, n. 12, p. 5441-5455, DEC 2020.
Web of Science Citations:	0
Abstract
In this paper we show that certain generalizations of the C-r-Whitney topology, which include the Holder-Whitney and Sobolev-Whitney topologies on smooth manifolds, satisfy the Baire property, to wit, the countable intersection of open and dense sets is dense. (AU)

FAPESP's process:	16/25053-8 - Dynamics and geometry in low dimensions
Grantee:	André Salles de Carvalho
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	15/17909-7 - Regularity and the boundary of chaos
Grantee:	Edson de Faria
Support Opportunities:	Research Grants - Visiting Researcher Grant - International

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