All creatures great and small

Martin Goldstern; Saharon Shelah

doi:10.1090/tran/6568

All creatures great and small

Martin Goldstern, Saharon Shelah

Einstein Institute of Mathematics

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

Abstract

Let λ be an uncountable regular cardinal. Assuming 2^λ = λ+, we show that the clone lattice on a set of size λ is not dually atomic.

Original language	English
Pages (from-to)	7551-7577
Number of pages	27
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	11
DOIs	https://doi.org/10.1090/tran/6568
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.

Keywords

Cardinal arithmetic
Clones on infinite sets
Creature forcing
Large creatures
Maximal clones
Precomplete clones

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10.1090/tran/6568

Cite this

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title = "All creatures great and small",

abstract = "Let λ be an uncountable regular cardinal. Assuming 2λ = λ+, we show that the clone lattice on a set of size λ is not dually atomic.",

keywords = "Cardinal arithmetic, Clones on infinite sets, Creature forcing, Large creatures, Maximal clones, Precomplete clones",

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year = "2016",

doi = "10.1090/tran/6568",

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KW - Clones on infinite sets

KW - Creature forcing

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KW - Maximal clones

KW - Precomplete clones

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All creatures great and small

Abstract

Bibliographical note

Keywords

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