Two cardinal versions of diamond |
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Authors: | Hans-Dieter Donder Pierre Matet |
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Institution: | 1. Mathematisches Institut, Universit?t München, Theresienstr. 39, 800, München 2, Germany 2. Département de Mathématiques, Université de Caen, 14032, Caen Cedex, France
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Abstract: | Roughly speaking, ◇K,λ asserts the existence of a sequence of size <κ sets that captures every subset ofλ on a stationary set. The paper is devoted to the study of ◇K,λ and related principles, which are for instance obtained by considering sequences of larger sets, or by requesting the simultaneous
capture of many subsets ofλ. Our main result is that ◇K,λ holds in caseλ>2<K
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