Fake reflection

Gabriel Fernandes; Miguel Moreno; Assaf Rinot

doi:10.1007/s11856-021-2213-2

Fake reflection

Gabriel Fernandes, Miguel Moreno, Assaf Rinot

Department of Mathematics

University of Vienna

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English
Pages (from-to)	295-345
Number of pages	51
Journal	Israel Journal of Mathematics
Volume	245
Issue number	1
DOIs	https://doi.org/10.1007/s11856-021-2213-2
State	Published - Oct 2021

Bibliographical note

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

Funding

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.

Funders	Funder number
Horizon 2020 Framework Programme	802756
European Commission
Suomalainen Tiedeakatemia
Israel Science Foundation	2066/18

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10.1007/s11856-021-2213-2

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Fake reflection

Abstract

Bibliographical note

Funding

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