February 2022
Agnieszka Widz: Almost disjoint magic sets
27/02/22 11:07
Tuesday, March 1, 2022 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Agnieszka Widz
Title: Almost disjoint magic sets
Abstract: Given a family of real functions F we say that a set M ⊆ ℝ is magic for F if for all f, g ∈ F we have f [M ] ⊆ g[M ] ⇒ f = g. This notion was introduced by Diamond, Pomerance and Rubel in 1981. Recently some results about magic sets were proved by Halbeisen, Lischka and Schumacher. Inspired by their work I constructed two families of magic sets one of them being almost disjoint and the other one being independent. During my talk I will sketch the background and present the proof for the almost disjoint family, which uses a Kurepa tree.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Agnieszka Widz
Title: Almost disjoint magic sets
Abstract: Given a family of real functions F we say that a set M ⊆ ℝ is magic for F if for all f, g ∈ F we have f [M ] ⊆ g[M ] ⇒ f = g. This notion was introduced by Diamond, Pomerance and Rubel in 1981. Recently some results about magic sets were proved by Halbeisen, Lischka and Schumacher. Inspired by their work I constructed two families of magic sets one of them being almost disjoint and the other one being independent. During my talk I will sketch the background and present the proof for the almost disjoint family, which uses a Kurepa tree.