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How To Split Antichains In Infinite Posets*

✍ Scribed by Péter L. Erdős; Lajos Soukup

Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
255 KB
Volume
27
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES

Splitting property in infinite posets
Splitting property in infinite posets
✍ Péter L Erdős 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 251 KB

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 infinit