Extendible cardinals and the mantle

Toshimichi Usuba

doi:10.1007/s00153-018-0625-4

Extendible cardinals and the mantle

Toshimichi Usuba^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

2 Citations (Scopus)

Abstract

The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.

Original language	English
Pages (from-to)	71-75
Number of pages	5
Journal	Archive for Mathematical Logic
Volume	58
Issue number	1-2
DOIs	https://doi.org/10.1007/s00153-018-0625-4
Publication status	Published - 2019 Feb 5

Keywords

Extendible cardinal
Mantle
Set-theoretic geology

ASJC Scopus subject areas

Philosophy
Logic

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10.1007/s00153-018-0625-4

Cite this

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title = "Extendible cardinals and the mantle",

abstract = "The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.",

keywords = "Extendible cardinal, Mantle, Set-theoretic geology",

author = "Toshimichi Usuba",

note = "Funding Information: This research was supported by JSPS KAKENHI grant Nos. 18K03403 and 18K03404.",

year = "2019",

month = feb,

day = "5",

doi = "10.1007/s00153-018-0625-4",

language = "English",

volume = "58",

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journal = "Archive for Mathematical Logic",

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AU - Usuba, Toshimichi

N1 - Funding Information: This research was supported by JSPS KAKENHI grant Nos. 18K03403 and 18K03404.

PY - 2019/2/5

Y1 - 2019/2/5

N2 - The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.

AB - The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.

KW - Extendible cardinal

KW - Mantle

KW - Set-theoretic geology

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U2 - 10.1007/s00153-018-0625-4

DO - 10.1007/s00153-018-0625-4

M3 - Article

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SP - 71

EP - 75

JO - Archive for Mathematical Logic

JF - Archive for Mathematical Logic

IS - 1-2

ER -

Extendible cardinals and the mantle

Abstract

Keywords

ASJC Scopus subject areas

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