Clones from creatures

Martin Goldstern; Saharon Shelah

doi:10.1090/S0002-9947-04-03593-7

Clones from creatures

Martin Goldstern^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

8 Scopus citations

Abstract

We show that (consistently) there is a clone C on a countable set such that the interval of clones above C is linearly ordered and has no coatoms.

Original language	English
Pages (from-to)	3525-3551
Number of pages	27
Journal	Transactions of the American Mathematical Society
Volume	357
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9947-04-03593-7
State	Published - Sep 2005

Keywords

Clones on infinite sets
Continuum hypothesis
Creature forcing
Maximal clones
Precomplete clones

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10.1090/S0002-9947-04-03593-7

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abstract = "We show that (consistently) there is a clone C on a countable set such that the interval of clones above C is linearly ordered and has no coatoms.",

keywords = "Clones on infinite sets, Continuum hypothesis, Creature forcing, Maximal clones, Precomplete clones",

author = "Martin Goldstern and Saharon Shelah",

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AB - We show that (consistently) there is a clone C on a countable set such that the interval of clones above C is linearly ordered and has no coatoms.

KW - Clones on infinite sets

KW - Continuum hypothesis

KW - Creature forcing

KW - Maximal clones

KW - Precomplete clones

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Clones from creatures

Abstract

Keywords

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