On strong tangential transversality

This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which is a natural sufficient condition for tangential transversality. Some properties of uniform tangent sets are obtained. A...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2020-10, Vol.490 (1), p.124235, Article 124235
Main Authors: Bivas, Mira, Krastanov, Mikhail I., Ribarska, Nadezhda
Format: Article
Language:English
Subjects:
Nonseparation of sets
Normal intersection properties
Strong tangential transversality
Sum rule
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Summary:This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which is a natural sufficient condition for tangential transversality. Some properties of uniform tangent sets are obtained. A new sum rule for the Clarke subdifferential is proven.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124235