Abstract
We study some asymptotic variants of the club principle. Along the way, we construct some forcings and use them to separate several of these principles.
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Džamonja, M., Shelah, S.: Similar but not the same: various versions of \(\clubsuit \) do not coincide. J. Symbolic Logic 64(1), 180–198 (1999)
Juhász, I.: A weakening of \(\clubsuit \), with applications to topology. Comment. Math. Univ. Carolin. 29(4), 767–773 (1988)
Kumar, A., Shelah, S.: Clubs on quasi measurable cardinals. MLQ Math. Log. Q. 64(1–2), 44–48 (2018)
Kumar, A., Shelah, S.: RVM, RVC revisited: Clubs and Lusin sets (submitted)
Kunen, K.: Set Theory. Studies in Logic and the Foundations of Mathematics, vol. 102. North-Holland, Amsterdam (1980)
Ostaszewski, A.J.: On countably compact perfectly normal spaces. J. London Math. Soc. 14(3), 505–516 (1975)
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AK supported by a Postdoctoral Fellowship at the Einstein Institute of Mathematics funded by European Research Council grant 338821. SS partially supported by European Research Council grant 338821; Publication no. 1136.
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Kumar, A., Shelah, S. On some variants of the club principle. European Journal of Mathematics 7, 1–27 (2021). https://doi.org/10.1007/s40879-020-00425-w
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DOI: https://doi.org/10.1007/s40879-020-00425-w