| 1. | The map r _ B is the unit of this adjunction.
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| 2. | Every monad arises from some adjunction, in fact typically from many adjunctions.
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| 3. | Every monad arises from some adjunction, in fact typically from many adjunctions.
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| 4. | Left adjunction and the Head Movement Constraint ensure that the Mirror Principle holds.
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| 5. | Therefore, different heads can have a specification for right vs . left adjunction.
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| 6. | In general, adjunctions are not equivalences & mdash; they relate categories of different natures.
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| 7. | The construction of adjunction spaces is an example of pushouts in the category of topological spaces.
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| 8. | Multiple related examples can be given together, as in Adjunction formula # Applications to curves.
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| 9. | The Kan extension is one of the broadest descriptions of a useful general class of adjunctions.
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| 10. | In homological algebra, the relationship between currying and uncurrying is known as tensor-hom adjunction.
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