English

On tangential transversality

Optimization and Control 2019-09-06 v5

Abstract

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 are concentrated mainly on tangential conditions in the primal space.

Keywords

Cite

@article{arxiv.1810.01809,
  title  = {On tangential transversality},
  author = {Mira Bivas and Mikhail Krastanov and Nadezhda Ribarska},
  journal= {arXiv preprint arXiv:1810.01809},
  year   = {2019}
}