Adjunction: A pair of functors between two categories that stand in a specific relationship, where one functor is left adjoint to the other. Limit: A construction that generalizes the notion of products and intersections in a category, capturing the idea of 'convergence' of diagrams.
Jul 23, 2024
Jun 17, 2024 · We show that right adjoint functors preserve limits, and that limits can be constructed via products and equalizers. We characterize the ...
Jun 26, 2016 · We show that right adjoint functors preserve limits, and that limits can be constructed via products and equalizers. We characterize the ...
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In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions
This paper will move through the basics of category theory, even- tually defining natural transformations and adjunctions and showing the equiv- alence of two ...
Apr 16, 2015 · Categories with closed monoidal structure are really great, because they give you a nicely behaved notion of a "mapping object". A closed ...
4 days ago · A pair of 1-morphisms in a 2-category form an adjunction if they are dual to each other (Lambek (1982), cf. here) in a precise sense.
Sep 19, 2019 · An adjunction is a pair of functors that interact in a particularly nice way. There's more to it, of course, so I'd like to share some motivation first.
The category of categories and adjunctions - MathOverflow
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Aug 8, 2014 · The category that has small categories as objects and adjunctions as morphisms? Obviously, it has neither terminal nor initial objects. But what about other ...
In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of ...