Abstract
In [13] we gave combinatorial characterizations of of spaces expressing non-distinguishability of some ideal convergences and semi-convergences of sequences of continuous functions. In the present paper we study three of these invariants: , , and . We study them in connection with partial orderings of restricted to relations between -to-one functions and -to-one functions. In particular we prove that for every capacitous ideal on . This generalizes the same result of Kwela for ideals contained in an -ideal. If is a capacitous -ideal, then for every ideal and for every ideal below in the Katĕtov partial quasi-ordering of ideals.
Citation
Miroslav Repický. "SPACES NOT DISTINGUISHING IDEAL CONVERGENCES OF REAL-VALUED FUNCTIONS, II." Real Anal. Exchange 46 (2) 395 - 422, 2021. https://doi.org/10.14321/realanalexch.46.2.0395
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