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The weak square property

Published online by Cambridge University Press:  12 March 2014

Steve Jackson*
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203-5116, USA, E-mail: jackson@unt.edu

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 -supercompact. In particular, all the projective ordinals are -supercompact.

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2001

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