IJPAM: Volume 68, No. 4 (2011)
OF A WEAKLY COMPACT CARDINAL
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 '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