Espaces de Baire et espaces de Namioka.
Espaces et espaces des applications continues
Espaces uniformes et espaces de mesures
Espaces -complètement réguliers
Essential mappings and transfinite dimension
Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrodinger
On présente dans cet exposé une approche semi-classique déduite des résultats de N. Burq, P. Gérard et N. Tzvetkov [4] permettant de démontrer des inégalités de Strichartz pour un problème non captif. On retrouve ainsi des résultats de G. Staffilani et D. Tataru [16] (obtenus pour une perturbation de la métrique à support compact). On donne aussi des généralisations de ces résultats au cas d’une perturbation à longue portée
Euler characteristics of 2-manifolds and light open maps
Exactly two-to-one maps from continua onto arc-continua
Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable.
Exactly two-to-one maps from continua onto some tree-like continua
It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua and Ingram continua. The conjecture that all tree-like continua have this property, stated by S. Nadler...
Examples relating to mesocompact and sequentially mesocompact spaces
Exchange PF-rings and almost PP-rings.
Exchange PF-rings and almost PP-rings
Exemples d'actions non continues d'un groupe dans un compact.
Existence and data dependence for multivalued weakly Ćirić-contractive operators.
Existence of fixed points on compact epilipschitz sets without invariance conditions.
Existence of measurable selectors and parametrizations for -valued multifunctions
Existence of quasicontinuous selections for the space
The paper presents new quasicontinuous selection theorem for continuous multifunctions with closed values, being an arbitrary topological space. It is known that for with the Vietoris topology there is no continuous selection. The result presented here enables us to show that there exists a quasicontinuous and upperlower-semicontinuous selection for this space. Moreover, one can construct a selection whose set of points of discontinuity is nowhere dense.
Existence of solutions to second order ordinary differential equations having finite limits at infinity.
Exotic ANR's via null decompositions of Hilbert cube manifolds
Expansion of -open sets and decomposition of -continuous mappings.