I explain n categories to my friend Jos Hoebe using the homotopy.io software. We explore a wide range of topics including monoidal categories, groupoids, topology, homotopy theory, proof theory and the periodic table of k-tuple monoidal n categories.
After a brief beginner friendly introduction to n categories I explain Poincare duality and how homotopy.io can be used to visualize n categories. Then we explore the periodic table of n c categories.
Resources:
https://homotopy.io/
https://www.researchgate.net/profile/...
John Baez
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Categorification
https://arxiv.org/abs/math/9802029
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