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On the existence of large subsets of [λ]κ which contain no unbounded non-stationary subsets RID="★"ID="★" Publication number 698 in author's list. Partially supported by the Israel Science Foundation.

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Abstract

 Here we deal with some problems posed by Matet. The first section deals with the existence of stationary subsets of [λ]<κ with no unbounded subsets which are not stationary, where, of course, κ is regular uncountable ≤λ. In the second section we deal with the existence of such clubs. The proofs are easy but the result seems to be very surprising. Theorem 1.2 was proved some time ago by Baumgartner (see Theorem 2.3 of [Jo88]) and is presented here for the sake of completeness.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel. e-mail: shelah@math.huji.ac.il. Department of Mathematics, Rutgers University, New Brunswick NJ USA, , , , , , IL

    Saharon Shelah

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  1. Saharon Shelah
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Received: 10 December 1998 / Revised version: 2 February 1999 / Published online: 27 March 2002

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ID="&starf;" Publication number 698 in author's list. Partially supported by the Israel Science Foundation.

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Shelah, S. On the existence of large subsets of [λ]κ which contain no unbounded non-stationary subsets RID="&starf;"ID="&starf;" Publication number 698 in author's list. Partially supported by the Israel Science Foundation.. Arch. Math. Logic 41 , 207 –213 (2002). https://doi.org/10.1007/s001530000054

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  • DOI: https://doi.org/10.1007/s001530000054

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