On tangential transversality
arXiv:1810.01809 · doi:10.1016/j.jmaa.2019.123445
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.