Reflection principles, GCH and the uniformization properties

Jing Zhang

doi:10.1007/s11856-022-2386-3

Reflection principles, GCH and the uniformization properties

Jing Zhang

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	57-85
Number of pages	29
Journal	Israel Journal of Mathematics
Volume	254
Issue number	1
DOIs	https://doi.org/10.1007/s11856-022-2386-3
State	Published - Apr 2023

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

Funders	Funder number
Israel Academy of Sciences and Humanities
Israel Science Foundation	2066/18

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10.1007/s11856-022-2386-3

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Reflection principles, GCH and the uniformization properties

Abstract

Bibliographical note

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