A generalization of Tucker's combinatorial lemma with topological applications
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Publication:2650256
DOI10.2307/1969651zbMath0047.42004OpenAlexW2326125182WikidataQ59411255 ScholiaQ59411255MaRDI QIDQ2650256
Publication date: 1952
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1969651
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\(O_n\) is an \(n\)-MCFL ⋮ Strengthening topological colorful results for graphs ⋮ Generalizations of Baxter's theorem and cubical homology ⋮ A combinatorial proof for the circular chromatic number of Kneser graphs ⋮ Generalizations of Tucker-Fan-Shashkin lemmas ⋮ Equipartition of mass distributions by hyperplanes ⋮ A combinatorial proof of the Borsuk-Ulam antipodal point theorem ⋮ On the combinatorial antipodal-point lemmas ⋮ KKM type theorems with boundary conditions ⋮ Colorful subhypergraphs in Kneser hypergraphs ⋮ Oriented matroids and Ky Fan's theorem ⋮ A new coloring theorem of Kneser graphs ⋮ Circular chromatic number of induced subgraphs of Kneser graphs ⋮ A generalization of Kneser's conjecture ⋮ On the chromatic number of general Kneser hypergraphs ⋮ \((n,m)\)-fold covers of spheres ⋮ Colorful subgraphs in Kneser-like graphs ⋮ Combinatorial Stokes formulae ⋮ Topological Bounds for Graph Representations over Any Field ⋮ Colorful subhypergraphs in uniform hypergraphs ⋮ Some computational methods for systems of nonlinear equations and systems of polynomial equations ⋮ Extensions of Sperner and Tucker's lemma for manifolds ⋮ Kombinatorik bewerteter Komplexe ⋮ A combinatorial analog of a theorem of F.J. Dyson ⋮ Local chromatic number and distinguishing the strength of topological obstructions ⋮ Topologic proofs of some combinatorial theorems ⋮ Geometric proofs of the two-dimensional Borsuk-Ulam theorem ⋮ Combinatorial Stokes formulas via minimal resolutions ⋮ Combinatorial properties of certain simplicial and cubical vertex maps ⋮ Dold's theorem from viewpoint of strong compatibility graphs ⋮ Zwei kombinatorisch-geometrische Sätze vom Typus Sperner-Tucker-Ky Fan ⋮ Tucker-Ky Fan Colorings ⋮ Multilabeled Versions of Sperner's and Fan's Lemmas and Applications ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ Antipodal and fixed point theorems for sets in \(\Re^n\) bounded by a finite number of spheres ⋮ Generalised Mycielski graphs and the Borsuk-Ulam theorem ⋮ A constructive proof of Ky Fan's generalization of Tucker's lemma ⋮ On the Multichromatic Number of s‐Stable Kneser Graphs ⋮ Borsuk-Ulam type theorems for \(G\)-spaces with applications to Tucker type lemmas
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