mkr@CS-Arthur (Mahesh K Rathi) (09/13/84)
. Consider the lower-limit topology on R. How can we characterize the continuous functions when considered as functions from R(with usual topology) to R(with lower limit topology)? It may be worthwhile to note here that the concept of continuity changes dramatically when we go from one topology to the other. For example even the identity function on R is NOT continuous when considered as a function from R to Rl. NOTE: R : set of real numbers with the usual topology Rl : R with the lower limit topology lower limit topology is the topology generated by the half-open intervals.