Connected Morava K-Theories.
Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d'homologie de Hochschild
Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
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
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.
Coxeter-like complexes.
Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups.
Cubical Abelian groups with connections are equivalent to chain complexes.
Cubical sets and their site.
Cyclic homology, a survey
Derived de Rham Complex and Cyclic Homology.
Diagonal fibrations are pointwise fibrations.
Diagonals on the permutahedra, multiplihedra and associahedra.
Directed homotopy theory, I
Distributeurs et théorie de la forme
Double complexes and vanishing of Novikov cohomology
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.
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.
Effective homology for homotopy colimit and cofibrant replacement
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.