Fake reflection

Gabriel Fernandes; Miguel Moreno; Assaf Rinot

doi:https://doi.org/10.1007/s11856-021-2213-2

Fake reflection

Gabriel Fernandes, Miguel Moreno, Assaf Rinot

Department of Mathematics

Bar-Ilan University

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

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 - 1 Oct 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1007/s11856-021-2213-2

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title = "Fake reflection",

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.",

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AU - Fernandes, Gabriel

AU - Moreno, Miguel

AU - Rinot, Assaf

PY - 2021/10/1

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N2 - 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.

AB - 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.

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U2 - https://doi.org/10.1007/s11856-021-2213-2

DO - https://doi.org/10.1007/s11856-021-2213-2

M3 - مقالة

SN - 0021-2172

VL - 245

SP - 295

EP - 345

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Fake reflection

Abstract

All Science Journal Classification (ASJC) codes

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