AbstractLet X be a topological space and let F be a filter on N, recall that a sequence (xn)n∈N in X is said to be F-convergent to the point x∈X, if for each neighborhood U of x, {n∈N:xn∈U}∈F. By using F-convergence in ℓ1 and in Banach spaces, we characterize the P-filters, the P-filters+, the weak P-filters, the Q-filters, the Q-filters+, the weak Q-filters, the selective filters and the selective+ filters
A convergence function is a correspondence between the filters on a given set S and the subsets of S...
summary:Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filter...
International audienceConvergence almost everywhere cannot be induced by a topology, and if measure ...
AbstractLet X be a topological space and let F be a filter on N, recall that a sequence (xn)n∈N in X...
The development of the concept of a filter leads to a theory of convergence in topological spaces. T...
AbstractWe study those filters F on N for which weak F-convergence of bounded sequences in C(K) is e...
AbstractIn this paper a characterization of some fuzzy topological concepts, such as open sets, clos...
The textbook is an alternative to a classical introductory book in point-set topology. The approach,...
Abstract. The natural duality between “topological ” and “regular, ” both considered as convergence ...
AbstractFor every weakly statistically convergent sequence (xn) with increasing norms in a Hilbert s...
Sequences are sufficient to describe topological properties in metric spaces or, more generally, top...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
AbstractIn the first paragraph we study filters in the lattice IX, where I is the unitinterval and X...
In this article, we introduce new notions of convergence of directed families of points and converge...
In Albayrak & Pehlivan (2013), we generalized the concepts of pointwise convergence, uniform converg...
A convergence function is a correspondence between the filters on a given set S and the subsets of S...
summary:Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filter...
International audienceConvergence almost everywhere cannot be induced by a topology, and if measure ...
AbstractLet X be a topological space and let F be a filter on N, recall that a sequence (xn)n∈N in X...
The development of the concept of a filter leads to a theory of convergence in topological spaces. T...
AbstractWe study those filters F on N for which weak F-convergence of bounded sequences in C(K) is e...
AbstractIn this paper a characterization of some fuzzy topological concepts, such as open sets, clos...
The textbook is an alternative to a classical introductory book in point-set topology. The approach,...
Abstract. The natural duality between “topological ” and “regular, ” both considered as convergence ...
AbstractFor every weakly statistically convergent sequence (xn) with increasing norms in a Hilbert s...
Sequences are sufficient to describe topological properties in metric spaces or, more generally, top...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
AbstractIn the first paragraph we study filters in the lattice IX, where I is the unitinterval and X...
In this article, we introduce new notions of convergence of directed families of points and converge...
In Albayrak & Pehlivan (2013), we generalized the concepts of pointwise convergence, uniform converg...
A convergence function is a correspondence between the filters on a given set S and the subsets of S...
summary:Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filter...
International audienceConvergence almost everywhere cannot be induced by a topology, and if measure ...