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    STRUCTURE OF SUMMABLE TALL IDEALS UNDER KATĚTOV ORDER
    Cambridge University Press (CUP) ; 2023
    In:  The Journal of Symbolic Logic
    Details
    In: The Journal of Symbolic Logic, Cambridge University Press (CUP)
    Abstract: We show that Katětov and Rudin–Blass orders on summable tall ideals coincide. We prove that Katětov order on summable tall ideals is Galois–Tukey equivalent to $(\omega ^\omega ,\le ^*)$ . It follows that Katětov order on summable tall ideals is upwards directed which answers a question of Minami and Sakai. In addition, we prove that ${l_\infty }$ is Borel bireducible to an equivalence relation induced by Katětov order on summable tall ideals.
    Type of Medium: Online Resource
    ISSN: 0022-4812 , 1943-5886
    URL: Article
    DOI: 10.1017/jsl.2023.24
    RVK:
    CA 1000
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 2023
    detail.hit.zdb_id: 2010607-5
    SSG: 5,1
    SSG: 17,1
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