Three problems in convergence theory

Jerzy Wojciechowski

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arXiv · 2110.03538

Three problems in convergence theory

Jerzy Wojciechowski

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Abstract

In this note it is proved that the class of paratopologies is simple and that under the assumption that the measurable cardinals form a proper class, the class of hypotopologies is not simple. Moreover, an example is given of a Hausdorff convergence with idempotent set adherence (subdiagonal convergence) that is not weakly diagonal.

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Jerzy Wojciechowski. 2021-10-07. Three problems in convergence theory. https://arxiv.org/abs/2110.03538

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