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AN EXPOSITION OF THE COMPACTNESS OF $L({Q^{\mathrm{cf}}})$

Part of: Model theory

Published online by Cambridge University Press:  11 June 2020

ENRIQUE CASANOVAS  and
MARTIN ZIEGLER
ENRIQUE CASANOVAS
Affiliation:
DEPARTAMENT DE MATEMÀTIQUES I INFORMÀTICA UNIVERSITAT DE BARCELONA GRAN VIA 585, E-08007 BARCELONA, SPAIN E-mail: e.casanovas@ub.edu
MARTIN ZIEGLER
Affiliation:
ALBERT-LUDWIGS-UNIVERSITÄT FREIBURG MATHEMATISCHES INSTITUT ABTEILUNG FÜR MATHEMATISCHE LOGIK ECKERSTR. 1, 79104 FREIBURG, GERMANY E-mail: ziegler@uni-freiburg.de
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Abstract

We give an exposition of the compactness of $L({Q^{\mathrm{\,cf}}\!\!\!\!\!\!}_{C})$, for any set C of regular cardinals.

Keywords

cofinality quantifierscompact logicscompactness theorem

MSC classification

Primary: 03C80: Logic with extra quantifiers and operators

Information

Type
Articles
Information
Bulletin of Symbolic Logic , Volume 26 , Issue 3-4 , December 2020 , pp. 212 - 218
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Copyright
© The Association for Symbolic Logic 2020

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References

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