On strength of precipitousness of some ideals and towers

Yasuo YOSHINOBU

doi:10.2969/jmsj/05130535

Translator Disclaimer

July, 1999 On strength of precipitousness of some ideals and towers

Yasuo YOSHINOBU

J. Math. Soc. Japan 51(3): 535-541 (July, 1999). DOI: 10.2969/jmsj/05130535

Abstract

We show that the existence of a precipitous ideal over the successor of some limit cardinals implies the existence of some large cardinals, in the sense of consistency. Moreover we use the same technique to evaluate the consistency strength of precipitousness of Woodin's stationary tower.

Citation

Download Citation

Yasuo YOSHINOBU. "On strength of precipitousness of some ideals and towers." J. Math. Soc. Japan 51 (3) 535 - 541, July, 1999. https://doi.org/10.2969/jmsj/05130535