Invited speakers
Jesús María Fernández Castillo, Universidad de Extremadura, Badajoz, Spain
Marián Fabian, Czech Academy of Sciences, Praha, Czech Republic
Tamás Keleti, Eötvös Loránd University, Budapest, Hungary
Stevo Todorčević, University of Toronto, Toronto, Canada
Abstracts
Jesús M. F. Castillo: Homological methods in Banach space theory far and beyond
Marián Fabian: Asplund story
We present the theory of Asplund spaces from their beginning in 1968 up to now. We mention properties equivalent to the Asplund property - in particular dentability and the Radon-Nikodym property. We show examples/counterexamples, open questions, applications in renormings, and in variational analysis. We also recall adjacent concepts - weak Asplund spaces, Gâteaux differentiability spaces, Asplund-generated spaces, and topological counterparts: scattered and Radon-Nikodym compact spaces. Related techniques are also presented; in particular separable reductions, rich families, and projectional skeletons.