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Pullbacks in Regular Categories
Canadian Mathematical Bulletin, 1973Given 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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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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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
2010We 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
2011We 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, 2023exaly
Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity
Advanced Nonlinear Studies, 2013Julia García-luengo, Pedro Marín-rubio
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Pullback attractors for asymptotically compact non-autonomous dynamical systems
Nonlinear Analysis: Theory, Methods & Applications, 2006Tomás Caraballo
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Weak Pullback Attractors for Mean Random Dynamical Systems in Bochner Spaces
Journal of Dynamics and Differential Equations, 2019Bixiang Wang
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