Eugene Bilokopytov | PIMS - Pacific Institute for the Mathematical Sciences

PIMS Postdoctoral Fellow, University of Alberta

Eugene Bilokopytov is a PIMS postdoc at the University of Alberta. He obtained his Ph.D. at the University of Manitoba in 2019. While mainly active in Functional Analysis (spaces of continuous and holomorphic functions, vector and Banach lattices), he is also interested in other parts of "soft" analysis, including general topology, metric and convex geometry, order theory and measure theory.

Order convergence on a partially ordered set is a topological-like structure induced by the order, which usually fails to be an "actual" topology. However, on Boolean algebras and vector lattices this convergence satisfies the definition of a so...