Cube-like complexes, Steinhaus' chains and the Poincaré-Miranda theorem

DOI10.1007/s11784-015-0268-6zbMath1337.55003OpenAlexW2253443092WikidataQ59472971 ScholiaQ59472971MaRDI QIDQ266362

Przemysław Tkacz, Daria Michalik, Marian Turzański

Publication date: 13 April 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0268-6

zbMATH Keywords

colouringsimplicial complexcube-like complexSteinhaus chain

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• The Bolzano-Poincaré type theorems
• A Nobel prize for John Nash
• An \(n\)-dimensional version of Steinhaus' chessboard theorem
• The Game of Hex and the Brouwer Fixed-Point Theorem
• Fixed Points
• The Poincare-Miranda Theorem
• Equilibrium points in n -person games