A Banach space which is a Cech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.
@article{urn:eudml:doc:42319, title = {Norm fragmented weak* compact sets.}, journal = {Collectanea Mathematica}, volume = {41}, year = {1990}, pages = {133-163}, zbl = {0764.46015}, mrnumber = {MR1149650}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42319} }
Jayne, J. E.; Namioka, I.; Rogers, C. A. Norm fragmented weak* compact sets.. Collectanea Mathematica, Tome 41 (1990) pp. 133-163. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42319/