Intersection cohomology of cs-spaces and Zeeman's filtration.
Nathan Habegger, Leslie Saper (1991)
Inventiones mathematicae
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Nathan Habegger, Leslie Saper (1991)
Inventiones 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.
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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E. Christensen, E.G. Effros (1987)
Inventiones mathematicae
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L. Saper (1985)
Inventiones mathematicae
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J.F. MCCLENDON (1969)
Inventiones mathematicae
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D.L. JOHNSON (1969)
Inventiones mathematicae
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Marek Golasinksi, D. Lima Goncalves (1997)
Manuscripta mathematica
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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.
Christopher Deninger (1991)
Inventiones mathematicae
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A. Dickenstein, C. sessa (1985)
Inventiones mathematicae
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