Descriptions of Čech cohomology
Kelley, J. L.
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Kelley, J. L.
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Ellis, Graham, Kholodna, Irina (1999)
Homology, Homotopy and Applications
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Dabbour, Abd el-Sattar A., Hijazi, Rola A. (2001)
International Journal of Mathematics and Mathematical Sciences
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Alejandro Adem, John Maginnis (1990)
Mathematische Annalen
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Roger Gómez-Ortells (2014)
Colloquium Mathematicae
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We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
Soogil Seo (2005)
Acta Arithmetica
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Fedor Bogomolov, Tihomir Petrov (2011)
Open Mathematics
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We prove vanishing results for the unramified stable cohomology of alternating groups.
Claus Scheiderer (1996)
Manuscripta mathematica
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Corrado De Concini, Claudio Procesi, Mario Salvetti, Fabio Stumbo (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Andrzej Czarnecki (2014)
Annales Polonici Mathematici
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A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
Hüttemann, Thomas (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...