Displaying similar documents to “Des cas où l'on peut résoudre l'équation du second degré par approximations successives”

Préimages d’espaces héréditairement de Baire

Ahmed Bouziad (1997)

Fundamenta Mathematicae

Similarity:

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.

Sur les rétractes absolus Pn -valués de dimension finie

Robert Cauty (1998)

Fundamenta Mathematicae

Similarity:

We prove that a k-dimensional hereditarily indecomposable metrisable continuum is not a P k -valued absolute retract. We deduce from this that none of the classical characterizations of ANR (metric) extends to the class of stratifiable spaces.

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

Robert Cauty (1999)

Fundamenta Mathematicae

Similarity:

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.