Displaying similar documents to “Exponential Objects”

Accessible set functors are universal

Libor Barto (2019)

Commentationes Mathematicae Universitatis Carolinae

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It is shown that every concretizable category can be fully embedded into the category of accessible set functors and natural transformations.

Categorical Pullbacks

Marco Riccardi (2015)

Formalized Mathematics

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The main purpose of this article is to introduce the categorical concept of pullback in Mizar. In the first part of this article we redefine homsets, monomorphisms, epimorpshisms and isomorphisms [7] within a free-object category [1] and it is shown there that ordinal numbers can be considered as categories. Then the pullback is introduced in terms of its universal property and the Pullback Lemma is formalized [15]. In the last part of the article we formalize the pullback of functors...

The free adjunction

Stephen Schanuel, Ross Street (1986)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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