Some results on the $π$-weight of countable Fréchet-Urysohn spaces

Fuente: arXiv
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1. Verfasser: Dow, Alan
Format: Preprint
Veröffentlicht: 2025
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author Dow, Alan
author_facet Dow, Alan
contents The $π$-weight spectrum for countable regular Fréchet-Urysohn spaces is the set of uncountable cardinals that are equal to the $π$-weight for some such space. We determine this $π$-weight spectrum in the standard Miller rational perfect set model and in the Random real model.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09614
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Some results on the $π$-weight of countable Fréchet-Urysohn spaces
Dow, Alan
Logic
General Topology
03E50, 03E35, 54A35, 54D55
The $π$-weight spectrum for countable regular Fréchet-Urysohn spaces is the set of uncountable cardinals that are equal to the $π$-weight for some such space. We determine this $π$-weight spectrum in the standard Miller rational perfect set model and in the Random real model.
title Some results on the $π$-weight of countable Fréchet-Urysohn spaces
topic Logic
General Topology
03E50, 03E35, 54A35, 54D55
url https://arxiv.org/abs/2512.09614