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SUMMARY:The dimension of the divisibility order - Victor Souza (Cambridge)
DTSTART:20211125T143000Z
DTEND:20211125T153000Z
UID:TALK166369@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The Dushnik-Miller dimension of a poset P is the smallest d\ns
 uch that one can embed P into a product of d linear orders.\nWe prove that
  the dimension of the divisibility order on the interval\n{1\,...\,n} is e
 qual to (log n)\\sup 2   (log log n)\\sup{-Theta(1)} as n goes to infinity
 .\nWe will also give similar results for variant notions of dimension and 
 when\nthe divisibility order is taken over various other sets of integers.
 \nBased on joint work with David Lewis and with Leo Versteegen.
LOCATION:MR12
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