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• W2806472833 abstract "In this paper we start by pointing out that Yoneda's notion of a regular span $S colon mathcal{X} to mathcal{A} times mathcal{B}$ can be interpreted as a special kind of morphism, that we call fiberwise opfibration, in the 2-category $mathsf{Fib}(mathcal{A})$. We study the relationship between these notions and those of internal opfibration and two-sided fibration. This fibrational point of view makes it possible to interpret Yoneda's Classification Theorem given in his 1960 paper as the result of a canonical factorization, and to extend it to a non-symmetric situation, where the fibration given by the product projection $Pr_0 colon mathcal{A} times mathcal{B} to mathcal{A}$ is replaced by any split fibration over $mathcal{A}$. This new setting allows us to transfer Yoneda's theory of extensions to the non-additive analog given by crossed extensions for the cases of groups and other algebraic structures." @default.
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• W2806472833 date "2018-06-06" @default.
• W2806472833 modified "2023-09-27" @default.
• W2806472833 title "Fibered aspects of Yoneda's regular span" @default.
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