3 papers
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.KT2022
Exact couples and their spectral sequences
George Peschke
Given a bigraded exact couple of modules over some ring, we determine the meaning of the -terms of its associated spectral sequence: Let and denot…
math.CT2020
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…