Turing invariant sets and the perfect set property

Clovis Hamel; Haim Horowitz; Saharon Shelah

doi:10.1002/malq.202000005

Turing invariant sets and the perfect set property

Clovis Hamel
, Haim Horowitz^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We show that (Formula presented.) implies that all sets of reals have the perfect set property. We also show that this result generalizes to all countable analytic equivalence relations.

Original language	English
Pages (from-to)	247-250
Number of pages	4
Journal	Mathematical Logic Quarterly
Volume	66
Issue number	2
DOIs	https://doi.org/10.1002/malq.202000005
State	Published - 1 Jul 2020

Bibliographical note

Publisher Copyright:
© 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Access to Document

10.1002/malq.202000005

Cite this

@article{292920915096422b8bf05c92e223996b,

title = "Turing invariant sets and the perfect set property",

abstract = "We show that (Formula presented.) implies that all sets of reals have the perfect set property. We also show that this result generalizes to all countable analytic equivalence relations.",

author = "Clovis Hamel and Haim Horowitz and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} 2020 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim",

year = "2020",

month = jul,

day = "1",

doi = "10.1002/malq.202000005",

language = "אנגלית",

volume = "66",

pages = "247--250",

journal = "Mathematical Logic Quarterly",

issn = "0942-5616",

publisher = "Wiley-VCH Verlag",

number = "2",

}

TY - JOUR

T1 - Turing invariant sets and the perfect set property

AU - Hamel, Clovis

AU - Horowitz, Haim

AU - Shelah, Saharon

PY - 2020/7/1

Y1 - 2020/7/1

N2 - We show that (Formula presented.) implies that all sets of reals have the perfect set property. We also show that this result generalizes to all countable analytic equivalence relations.

AB - We show that (Formula presented.) implies that all sets of reals have the perfect set property. We also show that this result generalizes to all countable analytic equivalence relations.

UR - https://www.scopus.com/pages/publications/85086374547

U2 - 10.1002/malq.202000005

DO - 10.1002/malq.202000005

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85086374547

SN - 0942-5616

VL - 66

SP - 247

EP - 250

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - 2

ER -

Turing invariant sets and the perfect set property

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this