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math.CT2024
A Homological View of Categorical Algebra
George Peschke, Tim Van der Linden
We provide a foundation for working with homological and homotopical methods in categorical algebra. This involves two mutually complementary components, namely (a) the strategic s…
math.CT2020★ 1 cited
Diagrams, Fibrations, and the Decomposition of Colimits
George Peschke, Walter Tholen
The contributions of this paper are twofold. Within the framework of Grothendieck's fibrational category theory, we present a web of fundamental 2-adjunctions surrounding the forma…