Sur la quasi-continuité et la quasi-continuité approximative
Sur le maximum approximatif
Sur les fonctions approximativement continues
Sur les fonctions discontinues croissantes et sur certaines fonctions continues
Sur les fonctions dont l'ensemble des point de continuité est à la fois frontière et dense
Sur les fonctions vectorielles approximativement continues
Sur les suites de fonctions approximativement continues et continues presque partout
Sur une conjecture de G. Godefroy
Sur une propriété des fonctions continues
Sur une propriété des fonctions de deux variables
The coarsest topology for -approximately continuous functions
The Lusin-Menchoff property of fine topologies
Three results on the regularity of the curves that are invariant by an exact symplectic twist map
A theorem due to G. D. Birkhoff states that every essential curve which is invariant under a symplectic twist map of the annulus is the graph of a Lipschitz map. We prove: if the graph of a Lipschitz map h:T→R is invariant under a symplectic twist map, then h is a little bit more regular than simply Lipschitz (Theorem 1); we deduce that there exists a Lipschitz map h:T→R whose graph is invariant under no symplectic twist map (Corollary 2).Assuming that the dynamic of a twist map restricted to a...
Trajectories, first return limiting notions and rings of -connected and iteratively -connected functions
In the paper the existing results concerning a special kind of trajectories and the theory of first return continuous functions connected with them are used to examine some algebraic properties of classes of functions. To that end we define a new class of functions (denoted ) contained between the families (widely described in literature) of Darboux Baire 1 functions () and connectivity functions (). The solutions to our problems are based, among other, on the suitable construction of the ring,...
Typical sets and typical continuous functions
Über Darbouxsche Funktionen
Über eine Frage von Herr L. Mišik
Über hebbare Unstetigkeiten.
Über hebbare Unstetigkeiten.
Uniform limits of Darboux functions on the Euclidean plane