Effective chain complexes for twisted products
In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product to a chain complex of free finitely generated abelian groups are found.
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Marek Filakovský (2012)
Archivum Mathematicum
In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product to a chain complex of free finitely generated abelian groups are found.
Marek Filakovský (2014)
Archivum Mathematicum
We extend the notion of simplicial set with effective homology presented in [22] to diagrams of simplicial sets. Further, for a given finite diagram of simplicial sets such that each simplicial set has effective homology, we present an algorithm computing the homotopy colimit as a simplicial set with effective homology. We also give an algorithm computing the cofibrant replacement of as a diagram with effective homology. This is applied to computing of equivariant cohomology operations....
Thomas Bier (1993)
Mathematische Annalen
Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)
Documenta Mathematica
Dugger, Daniel, Shipley, Brooke (2007)
Theory and Applications of Categories [electronic only]
Fabien Morel (1996)
Bulletin de la Société Mathématique de France
Davis, Daniel G. (2009)
Theory and Applications of Categories [electronic only]
Marco Grandis (2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Schwede, Stefan, Shipley, Brooke (2003)
Algebraic & Geometric Topology
Golasiński, Marek, Gonçalves, Daciberg Lima (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
R. Schwänzl, R.M. Vogt (1988)
Manuscripta mathematica
Amnon Neeman (2011)
Annales scientifiques de l'École Normale Supérieure
Let be a ring. In two previous articles [12, 14] we studied the homotopy category of projective -modules. We produced a set of generators for this category, proved that the category is -compactly generated for any ring , and showed that it need not always be compactly generated, but is for sufficiently nice . We furthermore analyzed the inclusion and the orthogonal subcategory . And we even showed that the inclusion has a right adjoint; this forces some natural map to be an equivalence...
Amnon Neeman, Vladimir Retakh (1996)
Compositio Mathematica
Abdoreza R. Armakan, Mohammed Reza Farhangdoost (2017)
Czechoslovak Mathematical Journal
We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical interpretation of extensions, in particular, we characterize an extension of a hom-Lie algebra by another hom-Lie algebra and discuss the case where has no center. We also deal with the setting of covariant exterior derivatives, Chevalley derivative, Maurer-Cartan formula, curvature and the Bianchi identity for the possible extensions in differential geometry. Moreover, we find a cohomological obstruction...
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