Tautness and applications of the Alexander-Spanier cohomology of -types.
Dabbour, Abd el-Sattar A., Hijazi, Rola A. (2001)
International Journal of Mathematics and Mathematical Sciences
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Dabbour, Abd el-Sattar A., Hijazi, Rola A. (2001)
International Journal of Mathematics and Mathematical Sciences
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Bacon, Philip (1979)
Portugaliae mathematica
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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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Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
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...
Ellis, Graham, Kholodna, Irina (1999)
Homology, Homotopy and Applications
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Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.
Takeo Ohsawa (1992)
Mathematische Zeitschrift
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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.
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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