IJPAM: Volume 93, No. 5 (2014)
UNIFORM SIGMA-1-1 WELL ORDERS
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Abstract. Appropriate restrictions may be placed on a well-order on where is an inaccessible cardinal, so that it gives rise to a function chain when is a Mahlo cardinal. Set chains may be defined for all second order formulas. Postulating that the sets in the resulting set chain are stationary yields a powerful new axiom.
Received: March 4, 2014
AMS Subject Classification: 03E55
Key Words and Phrases: function chains
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DOI: 10.12732/ijpam.v93i5.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 661 - 683
This work is licensed under the Creative Commons Attribution International License (CC BY).