2 citations · 4 across the 6 of their papers we have counts for
Showing math.GNShow all
3 papers · 1 filter
math.GN2018★ 2 cited
No bullying! A playful proof of Brouwer's fixed-point theorem
Henrik Petri, Mark Voorneveld
We give an elementary proof of Brouwer's fixed-point theorem. The only mathematical prerequisite is a version of the Bolzano-Weierstrass theorem: a sequence in a compact subset of…
math.GN2017★ 2 cited
An elementary direct proof that the Knaster-Kuratowski-Mazurkiewicz lemma implies Sperner's lemma
Mark Voorneveld
Three central results in economic theory --- Brouwer's fixed-point theorem, Sperner's lemma, and the Knaster-Kuratowski-Mazurkiewicz (KKM) lemma --- are known to be equivalent. In…
math.GN2013
Berge's Maximum Theorem for Noncompact Image Sets
Eugene A. Feinberg, Pavlo O. Kasyanov, Mark Voorneveld
This note generalizes Berge's maximum theorem to noncompact image sets. It is also clarifies the results from E.A. Feinberg, P.O. Kasyanov, N.V. Zadoianchuk, "Berge's theorem for n…