IJPAM: Volume 93, No. 5 (2014)

FUNCTION CHAINS FROM
UNIFORM SIGMA-1-1 WELL ORDERS

Martin Dowd
1613 Wintergreen Pl.
Costa Mesa, CA 92626, USA


Abstract. Appropriate restrictions may be placed on a $\Sigma^1_1$ well-order on $V_{\kappa}$ where $\kappa$ is an inaccessible cardinal, so that it gives rise to a function chain when $\kappa$ 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
Year: 2014
Volume: 93
Issue: 5
Pages: 661 - 683

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).