Dans le fibré de l'espace des lacets libres, la fibre n'est pas, en général, totalement non cohomologue a zéro.
Decomposability of evaluation fibrations and the brace product operation of James
Decomposing four-manifolds up to homotopy type.
Decomposition spaces and shape in the sense of Fox
Definable orthogonality classes in accessible categories are small
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopěnka’s principle. We prove that the necessary large-cardinal hypotheses depend on the complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy. For example, the statement that, for a class of morphisms in a locally presentable category of structures, the orthogonal class of objects is a small-orthogonality...
Degree of T-equivariant maps in ℝⁿ
A special case of G-equivariant degree is defined, where G = ℤ₂, and the action is determined by an involution given by T(u,v) = (u,-v). The presented construction is self-contained. It is also shown that two T-equivariant gradient maps are T-homotopic iff they are gradient T-homotopic. This is an equivariant generalization of the result due to Parusiński.
Deloopings of the spaces of long embeddings
The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof's delooping of the diffeomorphism group of the disk relative to the boundary....
Dénombrement des types de K-homotopie. Théorie de la déformation
Der freie Schleifenraum für Räume mit fast freier rationaler Kohomologie-Algebra.
Der Pontryagin-Ring von Quotienten eines Torus.
Diagonal fibrations are pointwise fibrations.
Diagonals on the permutahedra, multiplihedra and associahedra.
Die homotopiekategorie der Boardman-Spektren ist zur Homotopiekategorie der Kan-Spektren Äquivalent
Die Unterscheidung von Homotopietyp und einfachem Homotopietyp bei zweidimensionalen Komplexen.
Differentials in the homological homotopy fixed point spectral sequence.
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 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...
Directed homotopy theory, I
Directed homotopy theory, II. Homotopy constructs.
Directed subgraph complexes.