Fake reflection

Gabriel Fernandes; Miguel Fernando Moreno Wandurraga; Assaf Rinot

doi:10.1007/s11856-021-2213-2

Fake reflection

Gabriel Fernandes
, Miguel Fernando Moreno Wandurraga
, Assaf Rinot

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

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
Publication status	Published - Oct 2021

Austrian Fields of Science 2012

101013 Mathematical logic

Keywords

REDUCIBILITY
STATIONARY
TREES

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10.1007/s11856-021-2213-2

Cite this

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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.",

keywords = "REDUCIBILITY, STATIONARY, TREES",

author = "Gabriel Fernandes and \{Moreno Wandurraga\}, \{Miguel Fernando\} and Assaf Rinot",

note = "Publisher Copyright: {\textcopyright} 2021, The Hebrew University of Jerusalem.",

year = "2021",

month = oct,

doi = "10.1007/s11856-021-2213-2",

language = "English",

volume = "245",

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journal = "Israel Journal of Mathematics",

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T1 - Fake reflection

AU - Fernandes, Gabriel

AU - Moreno Wandurraga, Miguel Fernando

AU - Rinot, Assaf

PY - 2021/10

Y1 - 2021/10

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.

KW - REDUCIBILITY

KW - STATIONARY

KW - TREES

UR - https://www.scopus.com/pages/publications/85116413541

U2 - 10.1007/s11856-021-2213-2

DO - 10.1007/s11856-021-2213-2

M3 - Article

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

Austrian Fields of Science 2012

Keywords

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