Title
Document Type
Semi-plenary Lecture
Publication Date
6-2017
Publication Source
32nd Summer Conference on Topology and Its Applications
Abstract
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
Copyright © 2017, the Author
eCommons Citation
Richmond, Tom, "Topology and Order" (2017). Summer Conference on Topology and Its Applications. 52.
https://ecommons.udayton.edu/topology_conf/52
Comments
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