Cohomology sets inside arithmetic groups
Stefan Kühnlein (2003)
Acta Arithmetica
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Stefan Kühnlein (2003)
Acta Arithmetica
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Stefan Kühnlein (2003)
Acta Arithmetica
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Ellis, Graham, Kholodna, Irina (1999)
Homology, Homotopy and Applications
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Helmut Völklein (1989)
Forum mathematicum
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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.
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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John W. Rutter (1976)
Colloquium Mathematicae
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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...
Urs Würgler (1979)
Manuscripta mathematica
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Wu, Ta-Sun (1959)
Portugaliae mathematica
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Kelley, J. L.
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Soogil Seo (2005)
Acta Arithmetica
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