Partitioning subsets of stable models
Journal of Symbolic Logic 66 (4):1899-1908 (2001)
| Abstract | This paper discusses two combinatorial problems in stability theory. First we prove a partition result for subsets of stable models: for any A and B, we can partition A into |B |<κ(T ) pieces, Ai | i < |B |<κ(T ) , such that for each Ai there is a Bi ⊆ B where |Bi| < κ(T ) and Ai.. | |||||||||
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B. Hart, A. Pillay & S. Starchenko (1995). 1-Based Theories — the Main Gap for a -Models. Archive for Mathematical Logic 34 (5).
R. J. Watro (1984). On Partitioning the Infinite Subsets of Large Cardinals. Journal of Symbolic Logic 49 (2):539-541.
Ludomir Newelski (1996). On Atomic or Saturated Sets. Journal of Symbolic Logic 61 (1):318-333.
Steven Buechler (1984). Expansions of Models of Ω-Stable Theories. Journal of Symbolic Logic 49 (2):470-477.
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