This page contains information concerning my research on category-theoretic framework for universal homogeneous structures.
The main probject objective is to develop the general and applicable theory of Fraissé-Jónsson limits, based on category theory. The project is divided into the following 4 intermediate goals:
Goal 1 aims at better understanding of Fraissé-Jónsson limits induced by ``pushout generated arrows", in particular, when the construction has a singular length. Successful results of Goal 2 will shed more light at objects like the Gurarii space, whose structure and properties are still not well understood. Goal 3 aims at deeper understanding of combinatorial properties of categories related to topological dynamics. Finally, Goal 4 is devoted to the study of important examples of categories related to projections. Particular examples come from domain theory.
Last updated: 30.04.2015