Ideal Banach Category Theorems and Functions
نویسنده
چکیده
Based on some earlier findings on Banach Category Theorem for some “nice” σ-ideals by J. Kaniewski, D. Rose and myself. I introduce the h operator (h stands for “heavy points”) to refine and generalize kernel constructions of A. H. Stone. Having obtained this way a generalized Kuratowski’s decomposition theorem I prove some characterizations of the domains of functions having “many” points of h-continuity. Results of this type lead, in the case of the σ-ideal of meager sets, to important statements of Abstract Analysis such as Blumberg or Namioka-type theorems.
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