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The equivalence of determinacy and iterated sharps

Published online by Cambridge University Press:  12 March 2014

Derrick Albert Dubose
Derrick Albert Dubose*
Affiliation:
Department of Mathematics, University of Nevada, Las Vegas, Nevada 89154
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Abstract

We characterize, in terms of determinacy, the existence of 0## as well as the existence of each of the following: 0###, 0####, 0#####,…. For κ Є ω, we define two classes of sets, and , which lie strictly between and . We also define 01# as# and in general, 0(k+1)# as (0k#)#. We then show that the existence of 0(k + 1)# is equivalent to the determinacy of as well as the determinacy of .

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 2 , June 1990 , pp. 502 - 525
Copyright
Copyright © Association for Symbolic Logic 1990

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References

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