Displaying similar documents to “Sur les rétractes absolus Pn -valués de dimension finie”

Préimages d’espaces héréditairement de Baire

Ahmed Bouziad (1997)

Fundamenta Mathematicae

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The main result is slightly more general than the following statement: Let f: X → Y be a quasi-perfect mapping, where X is a regular space and Y a Hausdorff totally non-meagre space; if X or Y is χ-scattered, or if Y is a Lasnev space, then X is totally non-meagre. In particular, the product of a compact space X and a Hausdorff regular totally non-meagre space Y which is χ-scattered or a Lasnev space, is totally non-meagre.

Espace de twisteurs d’une variété presque hermitienne de dimension 6

Jean-Baptiste Butruille (2007)

Annales de l’institut Fourier

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On s’intéresse à l’espace de twisteurs réduit d’une variété presque hermitienne, en relisant un article de N.R.O’Brian et J.H.Rawnsley (Ann. Global Anal. Geom., 1985). On traite la question laissée ouverte de la dimension 6. Cet espace est muni d’une structure presque complexe 𝒥 en utilisant la distribution horizontale de la connexion hermitienne canonique. On montre qu’une condition nécessaire d’intégrabilité de 𝒥 est que la variété soit de type  W 1 ⊕ W 4 dans la classification de Gray et Hervella....

Compacts connexes invariants par une application univalente

Emmanuel Risler (1999)

Fundamenta Mathematicae

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Let K be a compact connected subset of cc, not reduced to a point, and F a univalent map in a neighborhood of K such that F(K) = K. This work presents a study and a classification of the dynamics of F in a neighborhood of K. When ℂ K has one or two connected components, it is proved that there is a natural rotation number associated with the dynamics. If this rotation number is irrational, the situation is close to that of “degenerate Siegel disks” or “degenerate Herman rings” studied...

Sur l’invariance de la dimension infinie forte par t-équivalence

Robert Cauty (1999)

Fundamenta Mathematicae

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Let X and Y be metric compacta such that there exists a continuous open surjection from C p ( Y ) onto C p ( X ) . We prove that if there exists an integer k such that X k is strongly infinite-dimensional, then there exists an integer p such that Y p is strongly infinite-dimensional.