# A note on the tightness of Gδ-modifications

3 被引用数 (Scopus)

## 抄録

We construct a normal countably tight T1 space X with t(Xδ)>2ω. This is an answer to the question posed by Dow-Juhász-Soukup-Szentmiklóssy-Weiss [5]. We also show that if the continuum is not so large, then the tightness of Gδ-modifications of countably tight spaces can be arbitrary large up to the least ω1-strongly compact cardinal.

本文言語 English 106820 Topology and its Applications 265 https://doi.org/10.1016/j.topol.2019.106820 Published - 2019 9月 15

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