The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Based on some earlier findings on Banach Category Theorem for some “nice” -ideals by J. Kaniewski, D. Rose and myself I introduce the operator ( stands for “heavy points”) to refine and generalize kernel constructions of A. H. Stone. Having obtained in this way a generalized Kuratowski’s decomposition theorem I prove some characterizations of the domains of functions having “many” points of -continuity. Results of this type lead, in the case of the -ideal of meager sets, to important statements...
Given a metric continuum and a positive integer , denotes the hyperspace of all nonempty subsets of with at most points endowed with the Hausdorff metric. For , denotes the set of elements of containing and denotes the quotient space obtained from by shrinking to one point set. Given a map between continua, denotes the induced map defined by . Let , we shall consider the induced map in the natural way . In this paper we consider the maps , , for some and for...
Currently displaying 1 –
3 of
3