Cardinal characteristics of the continuum and partitions

William Chen, Shimon Garti, Thilo Weinert*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We prove that for regular cardinals κ, combinations of the stick principle at κ and certain cardinal characteristics at κ being κ+ cause partition relations such as κ+ → (κ+, (κ : 2))2 and (κ+)2 → (κ+κ, 4)2 to fail. Polarised partition relations are also considered, and the results are used to answer several problems posed by Garti, Larson and Shelah.

Original languageAmerican English
Pages (from-to)13-38
Number of pages26
JournalIsrael Journal of Mathematics
Volume235
Issue number1
DOIs
StatePublished - 1 Jan 2020

Bibliographical note

Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.

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