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Converse dual cardinals

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle  and
Shuguo Zhang
Jörg Brendle
Affiliation:
The Graduate School of Science and Technology, Kobe University, Rokko-Dai 1-1, Nada-Ku, Kobe 657-8501, Japan. E-mail: brendle@kurt.scitec.kobe-u.ac.jp
Shuguo Zhang
Affiliation:
Mathematical College, Sichuan University Chengdu, Sichuan 610064, P. R. China. E-mail: iltcsuu@mail.sc.cninfo.net
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Abstract

We investigate the set (ω) of partitions of the natural numbers ordered by ≤* where A ≤* B if by gluing finitely many blocks of A we can get a partition coarser than B. In particular, we determine the values of a number of cardinals which are naturally associated with the structure ((ω), ≥*), in terms of classical cardinal invariants of the continuum.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 1 , March 2006 , pp. 22 - 34
Copyright
Copyright © Association for Symbolic Logic 2006

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