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.
Enriched functors and stable homotopy theory.
Enriched model categories and an application to additive endomorphism spectra.
Ensembles profinis simpliciaux et interprétation géométrique du foncteur
Epimorphic covers make a site, for profinite .
Equilogical spaces, homology and non-commutative geometry
Equivalences of monoidal model categories.
Equivariant weak -equivalences.
E...-spaces and injective ...-spaces.
Explicit cogenerators for the homotopy category of projective modules over a ring
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...
Extension categories and their homotopy
Extensions of hom-Lie algebras in terms of cohomology
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...