Some results on the $\pi$-weight of countable Fr\'echet-Urysohn spaces

Alan Dow

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arXiv · 2512.09614

Some results on the $\pi$-weight of countable Fr\'echet-Urysohn spaces

Alan Dow

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Abstract

The $\pi$-weight spectrum for countable regular Fr\'echet-Urysohn spaces is the set of uncountable cardinals that are equal to the $\pi$-weight for some such space. We determine this $\pi$-weight spectrum in the standard Miller rational perfect set model and in the Random real model.

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Alan Dow. 2025-12-10. Some results on the $\pi$-weight of countable Fr\'echet-Urysohn spaces. https://arxiv.org/abs/2512.09614

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