Applied model theory and metamathematics. An Abraham Robinson memorial problem list
''Abraham Robinson established a way of thinking; of looking at model theory not only as a framework for mathematics, but as a theory which can contribute penetrating specific results is a wide variety of subjects.'' This paper lists a set of important open problems in diverse areas of mathematics, which the author believes might benefit from Robinson's viewpoint. Detailed suggestions on possible approaches for solutions are made for several of them. The areas of the problems are: Bounds in algebra, diophantine geometry, definable sets of reals, Banach spaces, measure theory and Brownian motion, differentially closed fields, group theory, free groups, profinite groups and homomorphic model theory.
scientific article; zbMATH DE number 3939339
scientific article