9 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Open covers, locally sectionable maps, sets of base points, and van Kampen's theorem
Ronald Brown, George Janelidze, George Peschke
We generalize the van Kampen theorem for unions of non-connected spaces, due to R. Brown and A. R. Salleh, to the context where families of subspaces of a space B are replaced by a…
The Yoneda isomorphism commutes with homology
George Peschke, Tim Van der Linden
We show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor derivation. Then we extend…