A Basis Theorem for Perfect Sets
Groszek, Marcia J. ; Slaman, Theodore A.
Bull. Symbolic Logic, Tome 4 (1998) no. 1, p. 204-209 / Harvested from Project Euclid
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We show that if there is a nonconstructible real, then every perfect set has a nonconstructible element, answering a question of K. Prikry. This is a specific instance of a more general theorem giving a sufficient condition on a pair $M\subset N$ of models of set theory implying that every perfect set in $N$ has an element in $N$ which is not in $M$.
Publié le : 1998-06-14
Classification:  
@article{1182353564,
     author = {Groszek, Marcia J. and Slaman, Theodore A.},
     title = {A Basis Theorem for Perfect Sets},
     journal = {Bull. Symbolic Logic},
     volume = {4},
     number = {1},
     year = {1998},
     pages = { 204-209},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1182353564}
}

Groszek, Marcia J.; Slaman, Theodore A. A Basis Theorem for Perfect Sets. Bull. Symbolic Logic, Tome 4 (1998) no. 1, pp.  204-209. http://gdmltest.u-ga.fr/item/1182353564/