Abstract
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.
Original language | English |
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Article number | 106820 |
Journal | Topology and its Applications |
Volume | 265 |
DOIs | |
Publication status | Published - 2019 Sep 15 |
Keywords
- Countably tight
- G-modification
- Saturated filter
- ω-strongly compact cardinal
ASJC Scopus subject areas
- Geometry and Topology