Výsledky vyhledávání - "Peschke, George"

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A Homological View of Categorical Algebra

Autor: Peschke, George, Van der Linden, Tim

We provide a foundation for working with homological and homotopical methods in categorical algebra. This involves two mutually complementary components, namely (a) the strategic selection of suitable axiomatic frameworks, some well known and some ne

Externí odkaz: http://arxiv.org/abs/2404.15896

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Exact couples and their spectral sequences

Autor: Peschke, George

Given a bigraded exact couple of modules over some ring, we determine the meaning of the $E^{\infty}$-terms of its associated spectral sequence: Let $L^{\ast}$ and $L_{\ast}$ denote the limit and colimit abutting objects of the exact couple, filtered

Externí odkaz: http://arxiv.org/abs/2205.10705

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Diagrams, Fibrations, and the Decomposition of Colimits

Autor: Peschke, George, Tholen, Walter

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 formation of the category of all small diagrams in a given category and the

Externí odkaz: http://arxiv.org/abs/2006.10890

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Open covers, locally sectionable maps, sets of base points, and van Kampen's theorem

Autor: Brown, Ronald, Janelidze, George, Peschke, George George

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 locally sectionable map to B.
Comment: version 3, expanded proof

Externí odkaz: http://arxiv.org/abs/1910.11620

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The Yoneda isomorphism commutes with homology

Autor: Peschke, George, Van der Linden, Tim

Publikováno v: J. Pure Appl. Algebra 220 (2016) 495--517

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 this result to semiabelian domains. An interpretation in terms of sate

Externí odkaz: http://arxiv.org/abs/1505.05406

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