Divisibility by 2 and 3 of certain Stirling numbers.
Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere.
Dolbeault homotopy theory and compact nilmanifolds
In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.
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...
Double point self-intersection surfaces of immersions.
Double vector spaces
Dualité dans la cohomologie des espaces localement compacts
Dualité dans les revetements galoisiens.
Dualité d'Eckmann-Hilton à travers les modèles de Chen-Quillen-Sullivan
Duality and Pro-Spectra.
Duan's fixed point theorem: proof and generalization.
Důkaz Brouwerovy věty metodou teorie grafů
Dynamical systems on vector bundles.
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion
In this paper we prove trace formulas for the Reidemeister numbers of group endomorphisms and the rationality of the Reidemeister zeta function in the following cases: the group is finitely generated and the endomorphism is eventually commutative; the group is finite; the group is a direct sum of a finite group and a finitely generated free Abelian group; the group is finitely generated, nilpotent and torsion free. We connect the Reidemeister zeta function of an endomorphism of a direct sum of a...
-degeneration and -lemma
For a double complex , we show that if it satisfies the -lemma and the spectral sequence induced by does not degenerate at , then it degenerates at . We apply this result to prove the degeneration at of a Hodge-de Rham spectral sequence on compact bi-generalized Hermitian manifolds that satisfy a version of -lemma.
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....
Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets
Un des problèmes historiques de la théorie homotopique des espaces est de mesurer l’effet de l’attachement d’une cellule au niveau des groupes d’homotopie. Le problème de l’attachement inerte reste en particulier un problème ouvert. Nous donnons ici une réponse partielle à ce problème.
Ein elementarer Zugang zur Leray-Schauder-Theorie
Ein Kettenkomplex auf geordneten Tupeln.