Connected Morava K-Theories.
Displaying 81 – 100 of 328
Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d'homologie de Hochschild
F. Patras (1991)
Bulletin de la Société Mathématique de France
Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
Bernd Günther, L. Mdzinarishvili (1997)
Fundamenta Mathematicae
We prove that Alexander-Spanier cohomology with coefficients in a topologicalAbelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.
Contractible simplicial objects
Michael Barr, John F. Kennison, Robert M. Raphael (2019)
Commentationes Mathematicae Universitatis Carolinae
We raise the question of when a simplicial object in a catetgory is deemed contractible. The literature offers three definitions. One is the existence of an “extra degeneracy”, indexed by , which does not quite live up to the name. This can be strengthened to a “strong extra degeneracy". Another possibility is that it be homotopic to a constant simplicial object. Despite claims in the literature to the contrary, we show that all three are distinct concepts with strong extra degeneracy implies extra...
Cosimplicial resolutions and homotopy spectral sequences in model categories.
Bousfield, A.K. (2003)
Geometry & Topology
Coxeter-like complexes.
Babson, Eric, Reiner, Victor (2004)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups.
Brown, R., Moore, E.J., Porter, T., Wensley, C.D. (2002)
Georgian Mathematical Journal
Cubical Abelian groups with connections are equivalent to chain complexes.
Brown, Ronald, Higgins, Philip J. (2003)
Homology, Homotopy and Applications
Cubical sets and their site.
Grandis, Marco, Mauri, Luca (2003)
Theory and Applications of Categories [electronic only]
Cyclic homology, a survey
Jean-Louis Loday (1986)
Banach Center Publications
Derived de Rham Complex and Cyclic Homology.
Javier Majadas (1996)
Mathematica Scandinavica
Diagonal fibrations are pointwise fibrations.
Cegarra, A.M., Remedios, J. (2007)
Journal of Homotopy and Related Structures
Diagonals on the permutahedra, multiplihedra and associahedra.
Saneblidze, Samson, Umble, Ronald (2004)
Homology, Homotopy and Applications
Directed homotopy theory, I
Marco Grandis (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Distributeurs et théorie de la forme
Dominique Bourn, Jean-Marc Cordier (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Double complexes and vanishing of Novikov cohomology
Hüttemann, Thomas (2011)
Serdica Mathematical Journal
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 and transparent proof that...
Dualité dans les revetements galoisiens.
Jean Barge (1980)
Inventiones mathematicae
Effective chain complexes for twisted products
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.
Effective homology for homotopy colimit and cofibrant replacement
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....
Eine homologische Interpretation gewisser Inzidenzmatrizen mod p.
Thomas Bier (1993)
Mathematische Annalen