Computation of cohomology operations on finite simplicial complexes.
Conditions For A Realization Functor To Commute With Finite Products.
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