Brendle, J, Brooke-Taylor, A orcid.org/0000-0003-3734-0933, Friedman, S-D et al. (1 more author) (2018) Cichoń’s diagram for uncountable cardinals. Israel Journal of Mathematics, 225 (2). pp. 959-1010. ISSN 0021-2172
Abstract
We develop a version of Cichoń’s diagram for cardinal invariants on the generalized Cantor space 2 κ or the generalized Baire space κ κ , where κ is an uncountable regular cardinal. For strongly inaccessible κ, many of the ZFC-results about the order relationship of the cardinal invariants which hold for ω generalize; for example, we obtain a natural generalization of the Bartoszyński–Raisonnier–Stern Theorem. We also prove a number of independence results, both with < κ-support iterations and κ-support iterations and products, showing that we consistently have strict inequality between some of the cardinal invariants.
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Copyright, Publisher and Additional Information: | © 2018, Hebrew University of Jerusalem. This is a post-peer-review, pre-copyedit version of an article published in Israel Journal of Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s11856-018-1688-y | ||||
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) | ||||
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Depositing User: | Symplectic Publications | ||||
Date Deposited: | 03 Jul 2017 11:30 | ||||
Last Modified: | 18 Apr 2019 00:38 | ||||
Status: | Published | ||||
Publisher: | Springer Verlag | ||||
Identification Number: | https://doi.org/10.1007/s11856-018-1688-y |