Fibres of width 3 ordered sets |
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Authors: | Zbigniew Lonc |
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Institution: | (1) Institute of Mathematics, Warsaw University of Technology, 00-661 Warsaw, Poland |
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Abstract: | We show that in an ordered setP of width 3 there always exists a fibre (i.e., a subset intersecting each maximal nontrivial antichain) of size at most 11/18|P|. This improves previously known results.Research supported by Polish KBN Grant 2 2037 92 03. |
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Keywords: | 06A07 |
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