At our 2024 GCI Postdoc Showcase, Postdoctoral Fellow Ana Belén Avilez García presented a poster about different perspectives with point-free topology. To learn more about her research, reach out to Dr. Avilez García at avilezgarcia@chapman.edu.

ABSTRACT: Point-free topology is regarded as an algebraic (more specifically, lattice theoretical) counterpart of classical topology. Locales and frames, the objects of study, are a generalized version of topological spaces where one focuses on their lattices of open sets, leaving aside the points. Replacing the category of topological spaces and continuous maps by the category of locales and their maps has allowed to approach topology from a different perspective, with advantages over the classical perspective.