Die Unterscheidung von Homotopietyp und einfachem Homotopietyp bei zweidimensionalen Komplexen.
Differentials in the homological homotopy fixed point spectral sequence.
Dimension and -translations
Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a Euclidean space will be obtained in terms of -translations; some of them were proved in our previous paper [G1] under the additional assumption of the boundedness of subspaces.
Dimension globale et classe fondamentale d'un espace
L’algèbre de Pontryagin d’un espace -elliptique vérifie le théorème d’Auslander-Buchsbaum-Serre. Nous donnons ici plusieurs caractérisations des espaces -elliptiques tels que gldim( et lorsque est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des ” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.
Dimension theory and large Riemannian manifolds.
Dimension vs. genus: A surface realization of the little k-cubes and an operad
We define a new operad based on surfaces with foliations which contains suboperads. We construct CW models for these operads and provide applications of these models by giving actions on Hochschild complexes (thus making contact with string topology), by giving explicit cell representatives for the Dyer-Lashof-Cohen operations for the 2-cubes and by constructing new Ω spectra. The underlying novel principle is that we can trade genus in the surface representation vs. the dimension k of the little...
Dimensionsgrad for locally connected Polish spaces
It is shown that for every n ≥ 2 there exists an n-dimensional locally connected Polish space with Dimensionsgrad 1.
Direct Images of Sheaves of Differentials and the Atiyah Class.
Directed homotopy theory, I
Directed homotopy theory, II. Homotopy constructs.
Directed subgraph complexes.
Discrete Morse theory and graph braid groups.
Disjonction de sous-variétés et application au croisement des anses
Distributeurs et théorie de la forme
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