Some continuous operations on pairs of cliquish functions

Abstract

The algebraic or lattice operations in the classes of cliquish
or quasicontinuous functions are well known ([5, 8]). This also pertains
to the symmetrical quasicontinuity or symmetrical cliquishness ([6]). In
this article, we examine the superpositions F(f; g) where F is a contin-
uous operation and f; g are cliquish (symmetrically cliquish) or f is con-
tinuous (f is symmetrically quasicontinuous with continuous sections)
and g is quasicontinuous (symmetrically quasicontinuous).