Gabriel–Zisman Cohomology and Spectral Sequences

Extending constructions by Gabriel and Zisman, we develop a functorial framework for the cohomology and homology of simplicial sets with very general coefficient systems given by functors on simplex categories into abelian categories. Furthermore we construct Leray type spectral sequences for any ma...

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Veröffentlicht in:	Applied categorical structures 2021-02, Vol.29 (1), p.69-94
Hauptverfasser:	Gálvez-Carrillo, Imma, Neumann, Frank, Tonks, Andrew
Format:	Artikel
Sprache:	eng
Schlagworte:	Categories Convex and Discrete Geometry Geometry Homology Mathematical Logic and Foundations Mathematics Mathematics and Statistics Theory of Computation
Online-Zugang:	Volltext
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