Page 1 Next

Displaying 1 – 20 of 28

Showing per page

Ultracompanions of subsets of a group

I. Protasov, S. Slobodianiuk (2014)

Commentationes Mathematicae Universitatis Carolinae

Let G be a group, β G be the Stone-Čech compactification of G endowed with the structure of a right topological semigroup and G * = β G G . Given any subset A of G and p G * , we define the p -companion Δ p ( A ) = A * G p of A , and characterize the subsets with finite and discrete ultracompanions.

Ultrafilter-limit points in metric dynamical systems

Salvador García-Ferreira, Manuel Sanchis (2007)

Commentationes Mathematicae Universitatis Carolinae

Given a free ultrafilter p on and a space X , we say that x X is the p -limit point of a sequence ( x n ) n in X (in symbols, x = p - lim n x n ) if for every neighborhood V of x , { n : x n V } p . By using p -limit points from a suitable metric space, we characterize the selective ultrafilters on and the P -points of * = β ( ) . In this paper, we only consider dynamical systems ( X , f ) , where X is a compact metric space. For a free ultrafilter p on * , the function f p : X X is defined by f p ( x ) = p - lim n f n ( x ) for each x X . These functions are not continuous in general. For a...

Une méthode de construction squelette par squelette dans les espaces paracompacts

Robert Cauty (1973)

Annales de l'institut Fourier

Dans cet article, on développe, pour les espaces paracompacts, une méthode de construction analogue à la construction par récurrence sur les squelettes dans les C W -complexes. On l’applique à des problèmes de prolongement ainsi qu’à l’existence de fonctions canoniques dans les nerfs de recouvrements fermés.

Uniform maps into normed spaces

Zdeněk Frolìk (1974)

Annales de l'institut Fourier

Thirteen properties of uniform spaces are shown to be equivalent. The most important properties seem to be those related to modules of uniformly continuous mappings into normed spaces, and to partitions of unity.

Currently displaying 1 – 20 of 28

Page 1 Next