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Splitting property in infinite posets

✍ Scribed by Péter L Erdős

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
251 KB
Volume
163
Category
Article
ISSN
0012-365X

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✦ Synopsis

It is known that in every finite poser @ any maximal antichain S with some denseness property may be partitioned into disjoint subsets St and $2, such that the union of the downset of S, with the upset of $2 yields the entire poser: ~ (S 1 ) ~ @ ($2) = ~. Hereby we give analogues results for infinite posers.

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