Restoration of structure
Section and Base-Point Functors.
Several characterizations of SSDR-maps
s-Fibrations
Soldered double linear morphisms
Our aim is to show a method of finding all natural transformations of a functor into itself. We use here the terminology introduced in [4,5]. The notion of a soldered double linear morphism of soldered double vector spaces (fibrations) is defined. Differentiable maps commuting with -soldered automorphisms of a double vector space are investigated. On the set of such mappings, appropriate partial operations are introduced. The natural transformations are bijectively related with the elements...
Solution d'un probleme de Fadell sur les fibres
Let E be the total space of a Hurewicz fiber space whose base and all fibers are ANRs. We prove that if E is metrisable, then it is also an ANR.
Spherical Fibrations and Manifolds.
Stratified model categories
The fourth axiom of a model category states that given a commutative square of maps, say i: A → B, g: B → Y, f: A → X, and p: X → Y such that gi = pf, if i is a cofibration, p a fibration and either i or p is a weak equivalence, then a lifting (i.e. a map h: B → X such that ph = g and hi = f) exists. We show that for many model categories the two conditions that either i or p above is a weak equivalence can be embedded in an infinite number of conditions which imply the existence of a lifting (roughly,...
Sur les feuilletages des variétés fibrées
Nous construisons un feuilletage exotique de classe sur tout fibré hyperbolique de genre . Nous montrons égalemnt des théorèmes de rigidité des feuilletages modèles sur certains fibrés pseudo-Anosov.
Sur les ouverts des CW-complexes et les fibrés de Serre
M. Steinberger et J. West ont prouvé dans [7] qu’un fibré de Serre p:E → B entre CW-complexes a la propriété de relèvement des homotopies par rapport aux k-espaces. Malheureusement, leur démonstration contient une légère erreur. Ils affirment que certains ensembles (notés U et ) sont des CW-complexes car ce sont des ouverts de CW-complexes. Ceci est généralement faux, et notre premier objectif dans cette note est de donner des exemples d’ouverts de CW-complexes n’admettant aucune décomposition...
The ℤ₂-cohomology cup-length of real flag manifolds
Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.
The homology of some groups of diffeomorphisms.
The non-criticality of certain families of affine varieties.
The transfer maps induced in the algebraic K...- and K...-groups by a fibration I.
Transfer maps for fibrations and duality
Trivializing Sperical Fibrations and Embeddings of Poincaré Complexes.
Нормальные расслоения полиэдров и двойственность
Представления банаховых алгерб и формулы типа Хирцебруха
Расслоения струй и многообразия над алгебрами
Расслоения струй и многообразия над алгебрами. II