Ranks of matrices with few distinct entries |
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| Authors: | Boris Bukh |
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| Institution: | 1.Department of Computer Science,E?tv?s University,Budapest,Hungary;2.Institute of Mathematics,The Hebrew University of Jerusalem,Jerusalem,Israel |
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| Abstract: | It is consistent that P(ω 1) is the union of less than \({2^{{\aleph _1}}}\) parts such that if A 0,..., A n?1, B 0,..., B m?1 are distinct elements of the same part, then |A 0 ∩ · · · ∩ A n?1 ∩ (ω 1 ? B 0) ∩ · · ·∩ (ω 1 ? B m?1)| = N1. |
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