The Conquest of Topology by Algebra, or, Topological Spaces as Relational BetaModules
The Conquest of Topology by Algebra, or, Topological Spaces as Relational BetaModules

Owen Biesel
Fine Hall 314
We explore the relationship between topological spaces and modules of the ultrafilter monad, Beta. Several basic properties of topological spaces X are rephrased as properties of "convergence" relations $BX>X$.