Similar but Not the Same: Various Versions of $\clubsuit$ Do Not Coincide

Dzamonja, Mirna; Shelah, Saharon

J. Symbolic Logic, Tome 64 (1999) no. 1, p. 180-198 / Harvested from Project Euclid

Résumé

We consider various versions of the $\clubsuit$ principle. This principle is a known consequence of $\lozenge$. It is well known that $\lozenge$ is not sensitive to minor changes in its definition, e.g., changing the guessing requirement form "guessing exactly" to "guessing modulo a finite set". We show however, that this is not true for $\clubsuit$. We consider some other variants of $\clubsuit$ as well.

Publié le : 1999-03-14
Classification:

@article{1183745699,
     author = {Dzamonja, Mirna and Shelah, Saharon},
     title = {Similar but Not the Same: Various Versions of $\clubsuit$ Do Not Coincide},
     journal = {J. Symbolic Logic},
     volume = {64},
     number = {1},
     year = {1999},
     pages = { 180-198},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745699}
}

Dzamonja, Mirna; Shelah, Saharon. Similar but Not the Same: Various Versions of $\clubsuit$ Do Not Coincide. J. Symbolic Logic, Tome 64 (1999) no. 1, pp.  180-198. http://gdmltest.u-ga.fr/item/1183745699/