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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Veröffentlicht in:	Journal of mathematical analysis and applications 2020-10, Vol.490 (1), p.124235, Article 124235
Hauptverfasser:	Bivas, Mira, Krastanov, Mikhail I., Ribarska, Nadezhda
Format:	Artikel
Sprache:	eng
Schlagworte:	Nonseparation of sets Normal intersection properties Strong tangential transversality Sum rule
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Zusammenfassung:	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