A note on Dilworth's theorem in the infinite case |
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Authors: | Uri Abraham |
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Affiliation: | (1) Department of Mathematics, Ben Gurion University, Beer-Sheva, Israel |
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Abstract: | If is a poset and every antichain is finite, and if the length of the well-founded poset of antichains is less than 21, then is the union of countably many chains. We also compute the length of the poset of antichains in the product of two ordinals, x. |
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Keywords: | 03E05 Combinatorial set theory 03E10 Ordinal and cardinal numbers 06A10 Partial order |
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