Determinacy and extended sharp functions on the reals, Part II: obtaining sharps from determinacy

Annals of Pure and Applied Logic 58 (1):1-28 (1992)
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Abstract

For several partial sharp functions # on the reals, we characterize in terms of determinacy, the existence of indiscernibles for several inner models of “# exists for every real r”. Let #10=1#10 be the identity function on the reals. Inductively define the partial sharp function, β#1γ+1, on the reals so that #1γ+1 =1#1γ+1 codes indiscernibles for L [#11, #12,…, #1γ] and #1γ+1=#1γ+1). We sho w that the existence of β#1γ follows from the determinacy of *Σ01)*+ games . Part I proves the converse

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Citations of this work

Determinacy and the sharp function on objects of type K.Derrick Albert Dubose - 1995 - Journal of Symbolic Logic 60 (4):1025-1053.

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References found in this work

An extension of borel determinacy.Donald A. Martin - 1990 - Annals of Pure and Applied Logic 49 (3):279-293.
The equivalence of determinacy and iterated sharps.Derrick Albert Dubose - 1990 - Journal of Symbolic Logic 55 (2):502-525.
Determinacy and the sharp function on the reals.Derrick Albert DuBose - 1992 - Annals of Pure and Applied Logic 55 (3):237-263.
Determinacy and the sharp function on the reals.Derrick Albert DuBose - 1991 - Annals of Pure and Applied Logic 54 (1):59-85.
Determinacy and the sharp function on objects of type K.Derrick Albert Dubose - 1995 - Journal of Symbolic Logic 60 (4):1025-1053.

View all 6 references / Add more references