Topology

AATO is part of the VUB Department of Mathematics. We do research in analytical and categorical topology, in algebraic topology and in approximation theory. 1. Categorical Topology. Study of mathematical structures that are important for models in informatics and in the fundamentals of physics. We apply methods from Categorical Topology to study the relation between these mathematical structures, to study the compatibility of their fundamental constructions and to solve problems with regard to the existence of 'nice function spaces'. 2. Algebraic topology. Study of categorical structures in homotopy theory, such as higher dimensional groupoids and their fibrations. 3.Approximation theory Methods from metric topology and in particular from approach theory are applied in approximation theory in Banach spaces.