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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Published in: | Journal of mathematical analysis and applications 2020-01, Vol.481 (1), p.123445, Article 123445 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1016/j.jmaa.2019.123445 |