On B*-clopen continuity, oscillation and convergence

P. Jain, C. Basu, V. Panwar

In this paper a new generalization of B*-continuity has been defined, to be called as B*-clopen continuity and many of its properties have been studied including the convergence behaviour of sequences of such functions. Also a new type of oscillation function, called cl-oscillation has been defined, which characterizes the B*-clopen continuity. 

Tbilisi Mathematical Journal, Vol. 13(4) (2020), pp. 129-140