Properties of some weak forms of continuity.
Quasicontinuity and related properties of functions and multivalued maps
The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
Quasi-continuous fuzzy-valued maps
Quasicontinuous selections for compact-valued multifunctions
Quelques remarques sur la quasi-continuité des multifonctions
Quotients of peripherally continuous functions
We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.
-compact spaces and -connected spaces.
-supercontinuous functions
A new class of functions called “-supercontinuous functions” is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity that already exist in the literature is elaborated. The class of -supercontinuous functions properly includes the class of -supercontinuous functions, Tyagi, Kohli, Singh (2013), which in its turn contains the class of -supercontinuous ( clopen continuous) functions, Singh (2007), Reilly, Vamanamurthy (1983), and is...
Rare -continuity.
rc-continuous functions and functions with rc-strongly closed graph.
Regular generalized -closed sets.
Relations between some topologies
Semi-continuity and weak-continuity
Semicontinuity in for polyconvex integrals
Viene studiata la semicontinuità rispetto alla topologia di per alcuni funzionali del Calcolo delle Variazioni dipendenti da funzioni a valori vettoriali.
Semicontinuity of maps which are limits of sequences of Baire continuous multivalued maps
Semicontinuity of maps which are limits of sequences of quasi-continuous maltivalued maps
Semi-generalized continuous maps in topological spaces.
Semi-open sets in biclosure spaces
The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.
Semi-precontinuous functions and properties of generalized semi-preclosed sets in topological spaces.
Semi-quotient mappings and spaces
In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.