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I -Lindelöf spaces.

Al-Zoubi, Khalid, Al-Nashef, Bassam (2004)

International Journal of Mathematics and Mathematical Sciences

Ideal Banach category theorems and functions

Zbigniew Piotrowski (1997)

Mathematica Bohemica

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 in 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...

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