IJPAM: Volume 68, No. 4 (2011)
1613, Wintergreen Pl.
Costa Mesa, CA 92626, USA
Abstract. It is straightforward that, if GCH holds then the Mahlo rank of an inaccessible cardinal is less than . If it could be shown that the Mitchell order of a measurable cardinal is at most its Mahlo rank, it would follow that the Mitchell order is less than . It is shown that the Mitchell order is at most the Mahlo rank, if the Mitchell order is less than .
Received: March 1, 2011
AMS Subject Classification: 03E55
Key Words and Phrases: Mitchell order, stationary reflection order
Source: International Journal of Pure and Applied Mathematics