Generalized group homology
Marton Harris (1969)
Fundamenta Mathematicae
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Marton Harris (1969)
Fundamenta Mathematicae
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Jolanta Słlomińska (1992)
Compositio Mathematica
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Bacon, Philip (1979)
Portugaliae mathematica
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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...
Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Paul Richard Buckingham (2011)
Acta Arithmetica
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John W. Rutter (1976)
Colloquium Mathematicae
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Guido Mislin (1993)
Compositio Mathematica
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Vladimir Voevodsky (2003)
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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.
Dabbour, Abd el-Sattar A., Hijazi, Rola A. (2001)
International Journal of Mathematics and Mathematical Sciences
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