1 5 A pr 1 99 8 Sticks and clubs

نویسندگان

  • Sakaé Fuchino
  • Saharon Shelah
  • Lajos Soukup
چکیده

We study combinatorial principles known as stick and club. Several variants of these principles and cardinal invariants connected to them are also considered. We introduce a new kind of side-by-side product of partial orderings which we call pseudo-product. Using such products, we give several generic extensions where some of these principles hold together with ¬CH and Martin’s Axiom for countable p.o.-sets. An iterative version of the pseudo-product is used under an inaccessible cardinal to show the consistency of the club principle for every stationary subset of limits of ω1 together with ¬CH and Martin’s Axiom for countable p.o.-sets.

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تاریخ انتشار 1997