46 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- 657 OsloNO1 paper
- Aix-Marseille UniversitéFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Epoka UniversityAL1 paper
- George Mason UniversityUS1 paper
- King Abdullah University of Science and TechnologySA1 paper
- KTH Royal Institute of TechnologySE1 paper
- Massey UniversityNZ1 paper
- National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”UA1 paper
- Princeton UniversityUS1 paper
- Royal Swedish Academy of SciencesSE1 paper
- Stanford UniversityUS1 paper
3 papers · 1 filter
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…
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…
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…