The Conquest of Topology by Algebra, or, Topological Spaces as Relational Beta-Modules

The Conquest of Topology by Algebra, or, Topological Spaces as Relational Beta-Modules

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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 $BX--->X$.