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SUMMARY:A resolution of the Aharoni--Korman conjecture - Lawrence Hollom (
 Cambridge)
DTSTART:20251016T133000Z
DTEND:20251016T143000Z
UID:TALK237271@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:The Aharoni--Korman conjecture\, also known as the fishbone co
 njecture\, states that any poset contains a chain C and a partition into a
 ntichains such that C meets every antichain in the partition. Our results 
 are twofold. Firstly\, we construct a poset for which the conjecture is fa
 lse. Secondly\, we demonstrate that this counterexample is\, in some sense
 \, minimal\, giving a strong positive result which shows that the conjectu
 re is true if one makes an additional assumption about the structure of th
 e poset.\n\n
LOCATION:MR12
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