Journal article

Pseudo-exponentiation on algebraically closed fields of characteristic zero

Abstract:: We construct and study structures imitating the field of complex numbers with exponentiation. We give a natural, albeit non first-order, axiomatisation for the corresponding class of structures and prove that the class has a unique model in every uncountable cardinality. This gives grounds to conjecture that the unique model of cardinality continuum is isomorphic to the field of complex numbers with exponentiation. © 2004 Elsevier B.V. All rights reserved.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Zilber, B. (2005). Pseudo-exponentiation on algebraically closed fields of characteristic zero. Annals of Pure and Applied Logic, 132(1), 67–95.

MLA Style

Zilber, B. “Pseudo-Exponentiation on Algebraically Closed Fields of Characteristic Zero.” Annals of Pure and Applied Logic, vol. 132, no. 1, Elsevier, 2005, pp. 67–95.

Chicago Style

Zilber, B. 2005. “Pseudo-Exponentiation on Algebraically Closed Fields of Characteristic Zero.” Annals of Pure and Applied Logic 132 (1): 67–95.
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Files:: 1-s2.0-S0168007204001058-main.pdf

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Publisher copy:: 10.1016/j.apal.2004.07.001

Authors

+ Zilber, B More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Elsevier
Journal:: Annals of Pure and Applied Logic More from this journal
Volume:: 132
Issue:: 1
Pages:: 67–95
Publication date:: 2005-02-01
DOI:: 10.1016/j.apal.2004.07.001
ISSN:: 0168-0072

Language:: English
Subjects:: Mathematics
UUID:: uuid:b9ffda07-1690-4bc1-b9f7-e6a3f91f7783
Local pid:: pubs:29483
Source identifiers:: 29483
Deposit date:: 2012-12-19

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2005
Notes:: Copyright 2004 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 21/02/2014).

Licence:: Other

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