On tangential transversality

This is the first of two closely related papers on transversality. Here we introduce the notion of tangential transversality of two closed subsets of a Banach space. It is an intermediate property between transversality and subtransversality. Using it, we obtain a variety of known results and some n...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2020-01, Vol.481 (1), p.123445, Article 123445
Main Authors: Bivas, Mira, Krastanov, Mikhail, Ribarska, Nadezhda
Format: Article
Language:English
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Summary:This is the first of two closely related papers on transversality. Here we introduce the notion of tangential transversality of two closed subsets of a Banach space. It is an intermediate property between transversality and subtransversality. Using it, we obtain a variety of known results and some new ones in a unified way. Our proofs do not use variational principles and we concentrate mainly on tangential conditions in the primal space.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123445