Generalization of contra-continuous functions.
Generalizations of the uniform convergence
Generalized continuity and generalized closed graphs
Generalized mappings between fuzzy topological spaces.
Hashimoto topologies and quasi-continuous maps
HC-convergence theory of -nets and -ideals and some of its applications
In this paper we introduce and study the concepts of -closed set and -limit (-cluster) points of -nets and -ideals using the notion of almost -compact remoted neighbourhoods in -topological spaces. Then we introduce and study the concept of -continuous mappings. Several characterizations based on -closed sets and the -convergence theory of -nets and -ideals are presented for -continuous mappings.
-Lindelöf spaces.
Ideal Banach category theorems and functions
Based on some earlier findings on Banach Category Theorem for some “nice” -ideals by J. Kaniewski, D. Rose and myself I introduce the operator ( stands for “heavy points”) to refine and generalize kernel constructions of A. H. Stone. Having obtained in this way a generalized Kuratowski’s decomposition theorem I prove some characterizations of the domains of functions having “many” points of -continuity. Results of this type lead, in the case of the -ideal of meager sets, to important statements...
Intuitionistic fuzzy alpha-continuity and intuitionistic fuzzy precontinuity.
-непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. I: Теоремы существования.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. II. Теоремы релаксации
Lebesgue measurability of separately continuous functions and separability.
Limites et fonctions d'ensemble
Local connectedness and connected open functions.
Locally closed sets and LC-continuous functions.
Lower semicontinuous functions with values in a continuous lattice
It is proved that for every continuous lattice there is a unique semiuniform structure generating both the order and the Lawson topology. The way below relation can be characterized with this uniform structure. These results are used to extend many of the analytical properties of real-valued l.s.cḟunctions to l.s.cḟunctions with values in a continuous lattice. The results of this paper have some applications in potential theory.
Mappings and decompositions of continuity on almost Lindelöf spaces.
Maxima and minima of simply continuous and quasicontinuous functions
Maximums of Darboux quasi-continuous functions
Maximums of strong Świątkowski functions