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Pullbacks in Regular Categories

Canadian Mathematical Bulletin, 1973
Given a pair of mapsin a category, we would like to know whether they form part of a pullback diagram as follows:I am indebted to Basil Rattray for mentioning the solution of this problem for the category of sets. Here we shall solve it for any regular category in the sense of Barr [1].It will be useful to make the following definition.
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The Class Group of Pullbacks

Communications in Algebra, 2007
Let T be an integral domain, I a nonzero ideal of T, ϕ: T → T/I the natural ring epimorphism, D an integral domain which is a proper subring of T/I, and R = ϕ−1(D). Let k = qf(D) be the quotient field of D such that k ⊆ T/I, S = ϕ−1(k), and k* = k\{0}.
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Transposition: Pullback and Pushforward

2010
We nowconsider the behavior of distributions under coordinate transformations and, more generally, under suitable \(C^\infty\) mappings.
Johannes J. Duistermaat, J. A. C. Kolk
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Homotopy Pushouts and Pullbacks

2011
We begin the chapter by discussing homotopy pushouts and homotopy pullbacks in the first two sections. These are analogues in the homotopy category of pushouts and pullbacks. They have many applications in homotopy theory and are necessary for the proofs in Section 6.4.
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Galerkin stability of pullback attractors for nonautonomous nonlocal equations

Discrete and Continuous Dynamical Systems - Series S, 2023
exaly  

Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity

Advanced Nonlinear Studies, 2013
Julia García-luengo, Pedro Marín-rubio
exaly  

Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary

Topological Methods in Nonlinear Analysis, 2020
Flank D M Bezerra, Flank D M Bezerra
exaly  

Pullback attractors for asymptotically compact non-autonomous dynamical systems

Nonlinear Analysis: Theory, Methods & Applications, 2006
Tomás Caraballo
exaly  

Weak Pullback Attractors for Mean Random Dynamical Systems in Bochner Spaces

Journal of Dynamics and Differential Equations, 2019
Bixiang Wang
exaly  

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