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Topology Seminar

Thu., Jan. 20, 2022 1:00 p.m.

Location: Live Stream

Speaker: Martin Frankland, University of Regina

Title: Enriched categories

Zoom: https://uregina-ca.zoom.us/j/99127226830?pwd=bnFQR1R3UUdyWUxqSS9JMExMRlZwZz09

Abstract:  

Linear maps between vector spaces themselves form a vector space. Similarly, continuous maps between topological spaces themselves form a topological space. In many contexts, the morphisms between objects form not just a set, but carry some extra structure. The purpose of enriched categories is to encode that extra structure.

In this talk, I will introduce the basics of enriched categories. We will focus on examples of enrichments: in abelian groups, vector spaces, chain complexes, simplicial sets, and topological spaces.