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Addendum to our paper “On resolvability of products” (Fund. Math. 260 (2023), 281–295)

Volume 272 / 2026

István Juhász, Lajos Soukup, Zoltán Szentmiklóssy Fundamenta Mathematicae 272 (2026), 99-101 MSC: Primary 54A25; Secondary 54A35, 03E35, 03E55 DOI: 10.4064/fm250917-20-10 Published online: 23 December 2025

Abstract

One of the main results of the paper mentioned in the title says that from having $0 \lt n \lt \omega $ (resp. $\omega $-many) measurable cardinals we get the consistency of having $n+1$ $0$-dimensional $T_2$ spaces whose product is irresolvable (resp. $\omega $-many 0-dimensional $T_2$ spaces such that the product of any finitely many of them is irresolvable). Here we show that these statements are actually equiconsistent.

Authors

  • István JuhászHUN-REN Alfréd Rényi Institute of Mathematics
    H-1053 Budapest, Hungary
    e-mail
  • Lajos SoukupHUN-REN Alfréd Rényi Institute of Mathematics
    H-1053 Budapest, Hungary
    e-mail
  • Zoltán SzentmiklóssyEötvös University of Budapest
    H-1117 Budapest, Hungary
    e-mail

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