An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application.
Shurygin, Vadim V., Smolyakova, Larisa B. (2001)
Lobachevskii Journal of Mathematics
Similarity:
Shurygin, Vadim V., Smolyakova, Larisa B. (2001)
Lobachevskii Journal of Mathematics
Similarity:
F.A. Bogomolov (1996)
Geometric and functional analysis
Similarity:
Kermit Sigmon (1975)
Aequationes mathematicae
Similarity:
W. Kucharz (2005)
Annales Polonici Mathematici
Similarity:
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.
John W. Rutter (1976)
Colloquium Mathematicae
Similarity:
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Grzegorz Andrzejczak
Similarity:
CONTENTSIntroduction.........................................................................5I. Semi-simplicial morphisms and topology..........................7II. Foliated ss-manifolds and sheaf cohomology................13III. Sheaf cohomology of ss-manifolds...............................32References.......................................................................55
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
Similarity:
C. Denson Hill, Mauro Nacinovich (1995)
Mathematische Zeitschrift
Similarity:
C. Denson Hill, M. Nacinovich (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
Similarity:
Takeo Ohsawa (1992)
Mathematische Zeitschrift
Similarity:
Hüttemann, Thomas (2011)
Serdica Mathematical Journal
Similarity:
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...
Andrzej Czarnecki (2014)
Annales Polonici Mathematici
Similarity:
A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.