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.
Semitopological properties
Separating sets by Darboux-like functions
We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).
Sequential completeness of subspaces of products of two cardinals
Let be a cardinal number with the usual order topology. We prove that all subspaces of are weakly sequentially complete and, as a corollary, all subspaces of are sequentially complete. Moreover we show that a subspace of need not be sequentially complete, but note that is sequentially complete whenever and are subspaces of .
Sequential continuity on dyadic compacta and topological groups
We study conditions under which sequentially continuous functions on topological spaces and sequentially continuous homomorphisms of topological groups are continuous.
Sequentially complete spaces
Slightly -continuous functions.
Some generalizations of continuity and quasi-continuity of maps
Some more properties of and regular -closed sets in ideal topological spaces.
Some remarks on almost continuous functions
Some results on (-pre, )-continuous functions.
Some subsets of ideal topological spaces
Some weak forms of continuity in bitopological spaces