To paraphrase Mary Ellen Rudin’s review of Steen & Seebach’s Counterexamples in Topology, topology is a dense forest of counterexamples, and a usable map of the forest is a fine thing.

The pi-Base community database of topological spaces is an open-source database and web application that allows students and researchers to explore topological spaces, properties, and the theorems that connect them. Participants in this workshop will learn how to contribute to the pi-Base; in particular, students and their mentors are encouraged to join us to learn how engagement with the pi-Base community can reveal questions appropriate for student projects in general topology.