Exploring Week 4 Lecture 4b Functoriality
Exploring Week 4 Lecture 4b Functoriality reveals several interesting facts.
- Lec 4b
- Bartosz Milewski explains how natural transformations connect different functors and explores the philosophical notion that an object is defined by its connections through morphisms. This leads to the definition of hom-functors and representable functors, where a functor is isomorphic to one represented by a single object in the category.
- HTL 432 Mini Lecture 4B
- This
In-Depth Information on Week 4 Lecture 4b Functoriality
Here we use maps of chain complexes to induce maps of homology groups, and show that the entire pipeline (simplicial map) to ... For course material, see http://www.cs.cmu.edu/~rwh/courses/hott/ Just as homology associates vector spaces to simplicial complexes, it assigns linear operators to simplicial maps. The crucial ... Functoriality
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