Weak continuity and strongly closed sets.
Weak continuity of fuzzy-valued maps
Weak continuity properties of topologized groups
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if is a regular right (left) semitopological group with such that all left (right) translations are feebly continuous, then is a topological group. This extends several results in literature.
Weak forms of continuity and associated properties.
Weak forms of continuity in fuzzy topology
Weakly continuous functions of Baire class 1.
For a compact Hausdorff space K and a Banach space X, let WC(K,X) denote the space of X-valued functions defined on K, that are continuous when X has the weak topology. In this note by a simple Banach space theoretic argument, we show that given f belonging to WC(K,X) there exists a net {fa} contained in C(K,X) (space of norm continuous functions) such that fa --> f pointwise w.r.t. the norm topology on X. Such a function f is said to be of Baire class 1.
Weakly -continuous functions.