  Primal characterizations (necessary and sufficient conditions) and slope
characterizations of subtransversality, intrinsic transversality and
transversality are obtained. The metric nature of intrinsic transversality is
established. The relation of intrinsic transversality and tangential
transversality is clarified. The equivalence of our characterization of
intrinsic transversality and the primal characterization of intrinsic
transversality of Thao et al. in the setting of Hilbert spaces is proved, while
in general Banach spaces our characterization is less restrictive.
