Displaying similar documents to “A universal property of the monoidal 2-category of cospans of ordinals and surjections.”

Descent for monads.

Hofstra, Pieter, De Marchi, Federico (2006)

Theory and Applications of Categories [electronic only]

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What are sifted colimits?

Adamek, J., Rosicky, J., Vitale, E.M. (2010)

Theory and Applications of Categories [electronic only]

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Object-Free Definition of Categories

Marco Riccardi (2013)

Formalized Mathematics

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Category theory was formalized in Mizar with two different approaches [7], [18] that correspond to those most commonly used [16], [5]. Since there is a one-to-one correspondence between objects and identity morphisms, some authors have used an approach that does not refer to objects as elements of the theory, and are usually indicated as object-free category [1] or as arrowsonly category [16]. In this article is proposed a new definition of an object-free category, introducing the two...