11.7 More Conditions on Functors
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Subsection 11.7.1: Dominant Functors
- Definition 11.7.1.1.1: Dominant Functors
- Proposition 11.7.1.1.2: Properties of Dominant Functors
- Question 11.7.1.1.3: Characterisations of Functors With Dominant Pre/Postcomposition
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Subsection 11.7.2: Monomorphisms of Categories
- Definition 11.7.2.1.1: Monomorphisms of Categories
- Proposition 11.7.2.1.2: Properties of Monomorphisms of Categories
- Question 11.7.2.1.3: Characterisations of Functors With Monic Pre/Postcomposition
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Subsection 11.7.3: Epimorphisms of Categories
- Definition 11.7.3.1.1: Epimorphisms of Categories
- Proposition 11.7.3.1.2: Properties of Epimorphisms of Categories
- Question 11.7.3.1.3: Characterisations of Functors With Epic Pre/Postcomposition
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Subsection 11.7.4: Pseudomonic Functors
- Definition 11.7.4.1.1: Pseudomonic Functors
- Proposition 11.7.4.1.2: Properties of Pseudomonic Functors
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Subsection 11.7.5: Pseudoepic Functors
- Definition 11.7.5.1.1: Pseudoepic Functors
- Proposition 11.7.5.1.2: Properties of Pseudoepic Functors
- Question 11.7.5.1.3: Characterisations of Pseudoepic Functors
- Question 11.7.5.1.4: Must a Pseudomonic and Pseudoepic Functor Be an Equivalence of Categories
- Question 11.7.5.1.5: Characterisations of Functors With Pseudoepic Pre/Postcomposition
