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Topology in Computer Science

Marseille Seminar

Introduction to Category Theory for Algebraic Topology (III)

Cameron Calk (LIS)

Summary

In this third talk of introduction to category theory, we will discuss the Yoneda lemma, a simple (yet mysterious) fundamental observation about categories, and presheaves, special functors which, intuitively, describe glueing operations such as those encountered in the construction of simplicial or cubical complexes.