Pathology of submeasures and F σ ideals

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Functions of bounded variation from ideal perspective

J Gulgowski, A Kwela, J Tryba - arxiv preprint arxiv:2407.02618, 2024 - arxiv.org
arxiv:2407.02618v1 [math.FA] 2 Jul 2024 Page 1 arxiv:2407.02618v1 [math.FA] 2 Jul 2024
FUNCTIONS OF BOUNDED VARIATION FROM IDEAL PERSPECTIVE JACEK GULGOWSKI …
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-ideals, colorings, and representation in Banach spaces

J Lopez-Abad, V Olmos-Prieto… - arxiv preprint arxiv …, 2025 - arxiv.org
In recent works by L. Drewnowski and I. Labuda and J. Mart\'inez et al., non-pathological
analytic\(P\)-ideals and non-pathological\(F_\sigma\)-ideals have been characterized and …
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Compactness in spaces of functions of bounded variation from ideal perspective

J Gulgowski, A Kwela, J Tryba - arxiv preprint arxiv:2412.21075, 2024 - arxiv.org
Recently we have presented a unified approach to two classes of Banach spaces defined by
means of variations (Waterman spaces and Chanturia classes), utilizing the concepts from …
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Egorov ideals

A Kwela - Topology and its Applications, 2024 - Elsevier
We study Egorov ideals, that is ideals on ω for which the Egorov's theorem for ideal versions
of pointwise and uniform convergences holds. We show that a non-pathological Σ 2 0 ideal …
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