Geodesic
Proper forcings and absoluteness in $L(\Bbb R)$
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 281-301 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We show that in the presence of large cardinals proper forcings do not change the theory of $L(\Bbb R)$ with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.
We show that in the presence of large cardinals proper forcings do not change the theory of $L(\Bbb R)$ with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.
Classification : 03E40, 03E55
Keywords: proper forcing; large cardinals 
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     title = {Proper forcings and absoluteness in $L(\Bbb R)$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {281--301},
     year = {1998},
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     zbl = {0939.03054},
     language = {en},
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Neeman, Itay; Zapletal, Jindřich. Proper forcings and absoluteness in $L(\Bbb R)$. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 281-301. http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a5/