Some properties of the density topology with respect to an extension of the Lebesgue measure.
Some properties of the topology of -sets
Some properties of -open sets.
Some properties related to [a,b]-compactness
Some relative topological properties
Some results on compact convergence semigroups defined by filters.
Some results on expansions for normal and completely normal spaces.
Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces
In this paper, we introduce the notion of the -weakly smooth fuzzy continuous proper function and discuss its properties. We also study several notions of connectedness in smooth fuzzy topological spaces and establish that the product of connected sets (spaces) is not connected in any sense, as well as investigate continuous images of smooth connected sets (spaces) under -weakly smooth fuzzy continuous functions.
Some results on inverse spectra. I.
Some results on inverse spectra. II.
Some separation axioms in fuzzy topological spaces
Some subsets of ideal topological spaces
Some topological consequences of the Product Measure Extension Axiom
Some types of points in
Somme Ponctuelle D'operateurs Maximaux Monotones Pointwise Sum of two Maximal Monotone Operators
∗ Cette recherche a été partiellement subventionnée, en ce qui concerne le premier et le dernier auteur, par la bourse OTAN CRG 960360 et pour le second auteur par l’Action Intégrée 95/0849 entre les universités de Marrakech, Rabat et Montpellier.The primary goal of this paper is to shed some light on the maximality of the pointwise sum of two maximal monotone operators. The interesting purpose is to extend some recent results of Attouch, Moudafi and Riahi on the graph-convergence of maximal monotone...
Space structures, their theory and application. II.
Spaces in which a bound on cardinality implies discreteness
Spaces in which compact subsets are closed and the lattice of -topologies on a set
We obtain some new properties of the class of KC-spaces, that is, those topological spaces in which compact sets are closed. The results are used to generalize theorems of Anderson [1] and Steiner and Steiner [12] concerning complementation in the lattice of -topologies on a set .
Spaces making continous convergence and locally uniform convergence coincide, their very weak P-property, and their topological behaviour.
Spaces not distinguishing convergences
In the present paper we introduce a convergence condition and continue the study of “not distinguish” for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces.