Clones from creatures
Authors:
Martin Goldstern and Saharon Shelah
Journal:
Trans. Amer. Math. Soc. 357 (2005), 3525-3551
MSC (2000):
Primary 08A40; Secondary 03E50, 03E75
DOI:
https://doi.org/10.1090/S0002-9947-04-03593-7
Published electronically:
November 4, 2004
MathSciNet review:
2146637
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We show that (consistently) there is a clone $\mathcal {C}$ on a countable set such that the interval of clones above $\mathcal {C}$ is linearly ordered and has no coatoms.
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Additional Information
Martin Goldstern
Affiliation:
Institute of Discrete Mathematics and Geometry, Vienna University of Technology, A-1040 Vienna, Austria
Email:
goldstern@tuwien.ac.at
Saharon Shelah
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel – and – Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
MR Author ID:
160185
ORCID:
0000-0003-0462-3152
Email:
shelah@math.huji.ac.il
Keywords:
Precomplete clones,
maximal clones,
clones on infinite sets,
creature forcing,
continuum hypothesis
Received by editor(s):
March 7, 2003
Received by editor(s) in revised form:
December 2, 2003
Published electronically:
November 4, 2004
Additional Notes:
The first author is grateful to the Department of Mathematics, Rutgers University, New Jersey, for their hospitality during a visit in September 2002
The second author’s research was supported by the US-Israel Binational Science Foundation. Publication 808.
A preprint of this paper is available at http://www.arXiv.org/math.RA/0212379/
Article copyright:
© Copyright 2004
American Mathematical Society
