32nd Summer Conference on Topology and Its Applications
We will discuss topologies as orders, orders on sets of topologies, and topologies on ordered sets. More specifically, we will discuss Alexandroff topologies as quasiorders, the lattice of topologies on a finite set, and partially ordered topological spaces. Some topological properties of Alexandroff spaces are characterized in terms of their order. Complementation in the lattice of topologies on a set and in the lattice of convex topologies on a partially ordered set will be discussed.
Copyright © 2017, the Author
Richmond, Tom, "Topology and Order" (2017). Summer Conference on Topology and Its Applications. 52.