Probabilistic Operator Algebra Seminar: On minimal and unbounded topologies

Seminar | April 29 | 2-4 p.m. | 736 Evans Hall

 Mitchell Taylor, UC Berkeley

 Department of Mathematics

In this talk I will discuss the process of “unbounding” a topology on a vector lattice. In the $L_p$-space case this process converts the norm topology to the topology of convergence in measure . I will then discuss how unbounded topologies connect with the minimal and universal objects in the category of vector lattices, and how some of their natural properties cannot be characterized in ZFC.