KEISLER’S ORDER IS NOT LINEAR, ASSUMING A SUPERCOMPACT
AbstractWe show that if there is a supercompact cardinal, then Keisler’s order is not linear. More specifically, let Tn,k be the theory of the generic n-clique free k-ary graph for any n > k ≥ 3, and let TCas be the simple nonlow theory described by Casanovas in [2]. Then we show that TCas$$Tn,k always, and if there is a supercompact cardinal then Tn,k$$TCas.
1969 ◽
Vol 27
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pp. 160-161
1983 ◽
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pp. 708-709
1974 ◽
Vol 32
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pp. 436-437
1978 ◽
Vol 36
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pp. 548-549
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1978 ◽
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pp. 540-541
1978 ◽
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pp. 456-457
1988 ◽
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1972 ◽
Vol 30
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