Reflection principles, GCH and the uniformization properties

Jing Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing principles. We discuss the tension and the compatibility between reflection principles and uniformization properties at the level of the second uncountable cardinal.

Original languageEnglish
Pages (from-to)57-85
Number of pages29
JournalIsrael Journal of Mathematics
Volume254
Issue number1
DOIs
StatePublished - Apr 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

Funding

Supported by the Foreign Postdoctoral Fellowship Program of the Israel Academy of Sciences and Humanities and by the Israel Science Foundation (grant agreement 2066/18). Acknowledgment

FundersFunder number
Israel Academy of Sciences and Humanities
Israel Science Foundation2066/18

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