Order polynomially complete lattices must be large

M. Goldstern; S. Shelah

doi:10.1007/s000120050075

Order polynomially complete lattices must be large

M. Goldstern^*
, S. Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

If L is an o.p.c. (order polynomially complete) lattice, then the cardinality of L is a strongly inaccessible cardinal. In particular, the existence of o.p.c. lattices is not provable in ZFC, not even from ZFC + GCH.

Original language	English
Pages (from-to)	197-209
Number of pages	13
Journal	Algebra Universalis
Volume	39
Issue number	3-4
DOIs	https://doi.org/10.1007/s000120050075
State	Published - 1998

Keywords

Canonization
Inaccessible cardinal
Polynomially complete

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10.1007/s000120050075

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title = "Order polynomially complete lattices must be large",

abstract = "If L is an o.p.c. (order polynomially complete) lattice, then the cardinality of L is a strongly inaccessible cardinal. In particular, the existence of o.p.c. lattices is not provable in ZFC, not even from ZFC + GCH.",

keywords = "Canonization, Inaccessible cardinal, Polynomially complete",

author = "M. Goldstern and S. Shelah",

year = "1998",

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AU - Goldstern, M.

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AB - If L is an o.p.c. (order polynomially complete) lattice, then the cardinality of L is a strongly inaccessible cardinal. In particular, the existence of o.p.c. lattices is not provable in ZFC, not even from ZFC + GCH.

KW - Canonization

KW - Inaccessible cardinal

KW - Polynomially complete

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JO - Algebra Universalis

JF - Algebra Universalis

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ER -

Order polynomially complete lattices must be large

Abstract

Keywords

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