A note on Dilworth's theorem in the infinite case |
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| Authors: | Uri Abraham |
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| Institution: | (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  2
1, 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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