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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Published in:arXiv.org 2018-10
Main Authors: Bivas, Mira, Krastanov, Mikhail, Ribarska, Nadezhda
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Language:English
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Banach spaces
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Krastanov, Mikhail
Ribarska, Nadezhda
description 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.
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subjects Banach spaces
title On strong tangential transversality
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