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We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).

Convergent sequences in $β X$

Frič, Roman, Vojtáš, Peter (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Convex half-spaces

Marek Lassak (1984)

Fundamenta Mathematicae

Convex $(L, M)$ -fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia, Gui-Xiu Chen (2024)

Kybernetika

In this paper, two kinds of remote neighborhood operators in $(L, M)$ -fuzzy convex spaces are proposed, which are called convex $(L, M)$ -fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators can be used to characterize $(L, M)$ -fuzzy convex structures. In addition, the lattice structures of two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators are also given.

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Convergence functions and their related topologies

Convergence in exponentiable spaces.

Convergence in Relational Structures.

Convergence of convex-concave saddle functions : applications to convex programming and mechanics

Convergence of sequences of real functions with respect to small systems

Convergence on vector spaces with $ℱ$ -localisation.

Convergence preserving permutations of $ℕ$ and Fréchet’s space of permutations of $ℕ$

Convergence structures

Convergence Structures on Homeomorphism Groups.

Convergence with respect to $F_{σ}$ -supported ideals

Convergences et relations compactantes. Application aux équilibres de Stackelberg

Convergences $𝔏_{S}^{H}$ for the group of real numbers

Convergencia En Relacion.

Convergent Filter Bases

Convergent sequences in $β X$

Convex half-spaces

Convex $(L, M)$ -fuzzy remote neighborhood operators

Convexity on a topological space

Correction to: Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom

Correction to the paper: Covering $^{ω} ω$ by special Cantor sets

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