A classification of secondary cohomology operations
John W. Rutter (1976)
Colloquium Mathematicae
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John W. Rutter (1976)
Colloquium Mathematicae
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Edwin Spanier (1990)
Publicacions Matemàtiques
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In this paper the concept of weakly additive cohomology theory is introduced as a variant of the known concept of additive cohomology theory. It is shown that for a closed A in X the singular homology of the pair (X, X-A) (with some fixed cohomology group) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Furthermore, every compactly supported cohomology theory is weakly additive. The main result is a comparison theorem...
Takeo Ohsawa (1992)
Mathematische Zeitschrift
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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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.
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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P.J. HUBER (1961)
Mathematische Annalen
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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...
Kermit Sigmon (1975)
Aequationes mathematicae
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W. Kucharz (2005)
Annales Polonici Mathematici
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A Nash cohomology class on a compact Nash manifold is a mod 2 cohomology class whose Poincaré dual homology class can be represented by a Nash subset. We find a canonical way to define Nash cohomology classes on an arbitrary compact smooth manifold M. Then the Nash cohomology ring of M is compared to the ring of algebraic cohomology classes on algebraic models of M. This is related to three conjectures concerning algebraic cohomology classes.
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.
Urs Würgler (1979)
Manuscripta mathematica
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Roy Joshua (1987)
Mathematische Zeitschrift
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Uwe Jannsen (1988)
Mathematische Annalen
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Pearson, Kelly Jeanne (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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