Reflection and indescribability in the constructible universe

Joan Bagaria; Menachem Magidor; Hiroshi Sakai

doi:10.1007/s11856-015-1191-7

Reflection and indescribability in the constructible universe

Joan Bagaria^*
, Menachem Magidor
, Hiroshi Sakai

^*Corresponding author for this work

Einstein Institute of Mathematics

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

15 Scopus citations

Abstract

We extend a result of R. Jensen ([6]) by showing that in the constructible universe, a regular cardinal is (n + 1)-stationary if and only if it is Π_n ¹-indescribable.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	208
Issue number	1
DOIs	https://doi.org/10.1007/s11856-015-1191-7
State	Published - 1 Sep 2015

Bibliographical note

Publisher Copyright:
© 2015, Hebrew University of Jerusalem.

Access to Document

10.1007/s11856-015-1191-7

Cite this

@article{fcde4fb3e6ea4a779068c8aaba5d5263,

title = "Reflection and indescribability in the constructible universe",

abstract = "We extend a result of R. Jensen ([6]) by showing that in the constructible universe, a regular cardinal is (n + 1)-stationary if and only if it is Πn 1-indescribable.",

author = "Joan Bagaria and Menachem Magidor and Hiroshi Sakai",

note = "Publisher Copyright: {\textcopyright} 2015, Hebrew University of Jerusalem.",

year = "2015",

month = sep,

day = "1",

doi = "10.1007/s11856-015-1191-7",

language = "אנגלית",

volume = "208",

pages = "1--11",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Reflection and indescribability in the constructible universe

AU - Bagaria, Joan

AU - Magidor, Menachem

AU - Sakai, Hiroshi

PY - 2015/9/1

Y1 - 2015/9/1

N2 - We extend a result of R. Jensen ([6]) by showing that in the constructible universe, a regular cardinal is (n + 1)-stationary if and only if it is Πn 1-indescribable.

AB - We extend a result of R. Jensen ([6]) by showing that in the constructible universe, a regular cardinal is (n + 1)-stationary if and only if it is Πn 1-indescribable.

UR - https://www.scopus.com/pages/publications/84945353021

U2 - 10.1007/s11856-015-1191-7

DO - 10.1007/s11856-015-1191-7

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

AN - SCOPUS:84945353021

SN - 0021-2172

VL - 208

SP - 1

EP - 11

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Reflection and indescribability in the constructible universe

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this