Fake reflection

Gabriel Fernandes, Miguel Moreno, Assaf Rinot

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We introduce a generalization of stationary set reflection which we call filter reflection, and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We prove the independence of filter reflection from ZFC, and present applications of filter reflection to the study of canonical equivalence relations over the higher Cantor and Baire spaces.

Original languageEnglish
Pages (from-to)295-345
Number of pages51
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Oct 2021

Bibliographical note

Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.


This research was partially supported by the European Research Council (grant agreement ERC-2018-StG 802756). The third author was also partially supported by the Israel Science Foundation (grant agreement 2066/18). At the end of the preparation of this article, the second author was visiting the University of Vienna supported by the Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters.

FundersFunder number
Horizon 2020 Framework Programme802756
European Research Council
Suomalainen Tiedeakatemia
Israel Science Foundation2066/18


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