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Csaba Biro (University of Louisville): Removable pairs and fractional removal pairs in posets

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Thursday, 26. June 2014, 11:00 - 13:00
Abstract. It is elementary to see that the removal of any single element from a poset decreases the dimension of the poset by at most 1. So the removal of any pair decreases the dimension by at most 2. If the removal of a certain pair decreases the dimension by less than 2, it is called a removable pair. It is a classic conjecture that every poset on at least 3 points contains a removable pair. We discuss the history and the related theory, and we present a proof for a somewhat younger version of the conjecture for fractional dimension. The talk will not assume any prior knowledge of poset theory.
(joint work with Peter Hamburger and Attila Por)
Location : Szőkefalvi terem, Bolyai Intézet

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