Title
On coding uncountable sets by reals
Abstract
If A subset of omega(1), then there exists a cardinal preserving generic extension L[A][x] of L[A] by a real x such that 1) A is an element of [L[x] and A is Delta(HC)(1) (x) in L[x]; 2) x is minimal over L[A], that is, if a set Y belongs to L[x], then either x is an element of L[A, Y] or Y is an element of L[A]. The forcing we use implicitly provides reshaping of the given set A. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Year
DOI
Venue
2010
10.1002/malq.200910056
MATHEMATICAL LOGIC QUARTERLY
Keywords
Field
DocType
Coding,minimal real,reshaping,forcing
Discrete mathematics,Combinatorics,Uncountable set,Existential quantification,Coding (social sciences),Mathematics
Journal
Volume
Issue
ISSN
56
4
0942-5616
Citations 
PageRank 
References 
2
0.58
9
Authors
2
Name
Order
Citations
PageRank
Joan Bagaria16313.15
Vladimir Kanovei23918.96