IJPAM: Volume 68, No. 4 (2011)

A LOWER BOUND ON THE MAHLO RANK
OF A WEAKLY COMPACT CARDINAL

Martin Dowd
1613, Wintergreen Pl.
Costa Mesa, CA 92626, USA
e-mail: [email protected]


Abstract. The Mahlo rank of a cardinal is a measure of how often the Mahlo operation may be iterated, starting with the inaccessible cardinals, while still retaining a stationary set. It is a question of considerable interest, what the least value of this can be for a weakly compact cardinal. A lower bound is shown, of a right associated exponential stack of $\omega$ $\kappa^+$'s. Some other pertinent questions are discussed.

Received: February 12, 2011

AMS Subject Classification: 03E55

Key Words and Phrases: weakly compact cardinal, rank of a cardinal, scheme

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 4