Mixed weak continuity on generalized topological spaces

초록

We introduce the notion of mixed weak (mu,nu(1)nu(2))-continuity between a generalized topology mu and two generalized topologies nu(1), nu(2). We characterize such continuity in terms of mixed generalized open sets: (nu(1),nu(2))'-semiopen sets, (nu(1),nu(2))'-preopen sets, (nu(1),nu(2))-preopen sets [2], (nu(1),nu(2))'-beta'-open sets and theta(nu(1),nu(2))-open sets [3]. In particular, we show that for a given mixed weakly (mu,nu(1)nu(2))-continuous function, if the codomain of the given function is mixed regular (=(nu(1),nu(2))-regular), then the function is also (mu,nu(1))-continuous.

키워드