In category theory, a branch of mathematics, a pullback is the limit of a diagram consisting of two morphisms f : X → Z and g : Y → Z with a common codomain ... Pullback and product · Examples · Properties

27 сент. 2024 г. · A pullback is a limit of a diagram like this: Such a diagram is also called a pullback diagram or a cospan. If the limit exists, we obtain a commutative square. Homotopy pullback · 2-pullback · Wide pullback · Pullback bundle

17 апр. 2024 г. · This vocabulary is usually employed when one of f or g is implicit from what B or A represents, respectively.

2 янв. 2017 г. · The two conditions in the definition pull in opposite directions: that there exists an arrow making the square commute suggests the pullback should be big. Pullbacks of categories - Math Stack Exchange meaning of "pullback along" in the definition of pullback in ... What is the intuition behind pushouts and pullbacks in category ... Другие результаты с сайта math.stackexchange.com

A pullback is a limit over a diagram of the following shape. The pullback is a sort of product of A and B that depends on C.

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Опубликовано: 2 мая 2021 г.

Pullback is a: Generalisation of both intersection an inverse. If a category has binary products and equalizers, then it has pullbacks.

13 дек. 2023 г. · In category theory, the pasting law or pullback lemma is a statement about (de-)composition of pullback/pushout diagrams.

24 сент. 2013 г. · A sufficient condition in a category with pullbacks is that X→Y be a pullback stable regular epimorphism: a regular epimorphism all of whose ... History of the pullback corner notation - MathOverflow pullback square in abelian category and derived categories Why pullback only defined up-to-isomorphism but nevertheless ... Explicit description of a pullback of $(2,1)$-categories Другие результаты с сайта mathoverflow.net