On Cuts in Ultraproducts of Linear Orders Ii

σ-Entangled Linear Orders and Narrowness of Products of Boolean Algebras

We investigate σ-entangled linear orders and narrowness of Boolean algebras. We show existence of σ-entangled linear orders in many cardinals, and we build Boolean algebras with neither large chains nor large pies. We study the behavior of these notions in ultraproducts. ∗ Partially supported by the Deutsche Forschungsgemeinschaft, Grant No. Ko 490/7-1. Publication 462.

Vive la différence II. The Ax-Kochen isomorphism theorem

We show in §1 that the Ax-Kochen isomorphism theorem [AK] requires the continuum hypothesis. Most of the applications of this theorem are insensitive to set theoretic considerations. (A probable exception is the work of Moloney [Mo].) In §2 we give an unrelated result on cuts in models of Peano arithmetic which answers a question on the ideal structure of countable ultraproducts of Z posed in [...

. L O ] 1 5 A pr 1 99 3 Vive la différence II . The Ax - Kochen isomorphism theorem

We show in §1 that the Ax-Kochen isomorphism theorem [AK] requires the continuum hypothesis. Most of the applications of this theorem are insensitive to set theoretic considerations. (A probable exception is the work of Moloney [Mo].) In §2 we give an unrelated result on cuts in models of Peano arithmetic which answers a question on the ideal structure of countable ultraproducts of Z posed in [...

Cuts of Linear Orders

We study the connection between the number of ascending and descending cuts of a linear order, its classical size, and its effective complexity (how much [how little] information can be encoded into it).

Meat from culled old ewes of two fat-tailed iranian breeds,II-Meat,subcutaneous fat and bone in the wholesale cuts