Uniformization Principles
Mekler, Alan H. ; Shelah, Saharon
J. Symbolic Logic, Tome 54 (1989) no. 1, p. 441-459 / Harvested from Project Euclid
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It is consistent that for many cardinals $\lambda$ there is a family of at least $\lambda^+$ unbounded subsets of $\lambda$ which have uniformization properties. In particular if it is consistent that a supercompact cardinal exists, then it is consistent that $\aleph_\omega$ has such a family. We have applications to point set topology, Whitehead groups and reconstructing separable abelian $p$-groups from their socles.
Publié le : 1989-06-14
Classification:  
@article{1183742916,
     author = {Mekler, Alan H. and Shelah, Saharon},
     title = {Uniformization Principles},
     journal = {J. Symbolic Logic},
     volume = {54},
     number = {1},
     year = {1989},
     pages = { 441-459},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742916}
}

Mekler, Alan H.; Shelah, Saharon. Uniformization Principles. J. Symbolic Logic, Tome 54 (1989) no. 1, pp.  441-459. http://gdmltest.u-ga.fr/item/1183742916/