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

18 июн. 2024 г. · An ordinary pullback is a limit over a diagram of the form A → C ← B A \to C \leftarrow B . Accordingly, a 2-pullback (or 2-fiber product) ...

13 дек. 2023 г. · 1. Idea. In category theory, the pasting law or pullback lemma is a statement about (de-)composition of pullback/pushout diagrams. Statement · Reverse pasting law · References

3 авг. 2024 г. · A distributivity pullback is the data which encodes a particular exponentiation along a morphism in a category. In other words, it is a cofree ...

22 нояб. 2023 г. · In general, the pullback of distributions along a smooth function f f is meant to be a unique extension to distributions of the operation which ...

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 ...

18 янв. 2023 г. · In the context of homotopy type theory a homotopy pullback is the interpretation of the space of solutions to an equation. 2. Definition. In ...

10 февр. 2024 г. · A category has wide pullbacks (of all small cardinalities) if and only if it has (binary) pullbacks and cofiltered limits. The saturation ...

1 окт. 2024 г. · Definition. Let C C be a category with pullbacks and colimits of some shape D D . We say that colimits of shape D D are stable by base ...

23 сент. 2024 г. · A final pullback complement is a “universal completion of a pair of arrows to a pullback”. Intuitively, it is a way to “remove part of an object ...