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Intro
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Classroom Contents
Defects in Category Theory: From Functors to Proarrow Equipments
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- 1 Intro
- 2 The defect of a covariant f.p. functor
- 3 The defect of a contravariant f.p. functor
- 4 The defect of a covariant additive functor
- 5 The defect of a contravariant additive functor
- 6 Questions
- 7 Outline of the results
- 8 Conventions
- 9 Main tools
- 10 Definition of profunctor
- 11 Examples of profunctors
- 12 Composition of profunctors
- 13 Triangle of profunctors
- 14 Bitensored category
- 15 The Yoneda and coYoneda lemmas
- 16 Defects of a profunctor
- 17 Adjunctions for defects
- 18 The contravariant defect of a f.p. functor (revisited)
- 19 The contravariant defect of an additive functor (revisited)
- 20 The covariant defect of an additive functor (revisited)
- 21 Isbell duality interchanges representable functors
- 22 Isbell duals for profunctors
- 23 Isbell duals factor through defects
- 24 Equipment
- 25 Defects are adjoint to Yoneda embeddings
