The weak square property

Journal of Symbolic Logic 66 (2):640-657 (2001)
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Abstract

We formulate and prove a combinatorial property assuming AD + V = L(R). As a consequence, we show that every regular κ which is either a Suslin cardinal or the successor of a Suslin cardinal is δ 2 1 -supercompact. In particular, all the projective ordinals δ 1 n are δ 2 1 -supercompact

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10.2307/2695034

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Citations of this work

Four and more.Ilijas Farah & Jindřich Zapletal - 2006 - Annals of Pure and Applied Logic 140 (1):3-39.
An inner model theoretic proof of Becker’s theorem.Grigor Sargsyan - 2019 - Archive for Mathematical Logic 58 (7-8):999-1003.

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On the determinacy of games on ordinals.L. A. Harrington - 1981 - Annals of Mathematical Logic 20 (2):109.

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