Tarski's plank problem and its variants

Type: 
Doctoral Defense
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/a
Wednesday, January 14, 2015 - 2:00pm
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Date: 
Wednesday, January 14, 2015 - 2:00pm

Abstract: If we cover a convex body K with planks (strips of space
between two parallel hyperplanes), does it follow that the sum of the
widths of the planks is at least the minimal width of K? This question
was posed by Alfred Tarski in 1932, and answered in the affirmative by
Bang in 1951. It leads to numerous related questions. I will present a
few such results and one or two proofs in the talk. However, many
related questions are still unsolved.