Combinatorial lemmas for oriented complexes
Słowa kluczowe
Labelling, primoid, pseudomanifold, Sperner lemma, combinatorial Stokes formulaAbstrakt
A solid combinatorial theory is presented. The generalized Sperner lemma for chains is derived from the combinatorial Stokes formula. Many other generalizations follow from applications of an $n$-index of a labelling defined on chains with values in primoids. Primoids appear as the most general structure for which Sperner type theorems can be formulated. Their properties and various examples are given. New combinatorial theorems for primoids are proved. Applying them to different primoids the well-known classic results of Sperner, Fan, Shapley, Lee and Shih are obtained.Pobrania
Opublikowane
2008-12-01
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1.
IDZIK, Adam & JUNOSZA-SZANIAWSKI, Konstanty. Combinatorial lemmas for oriented complexes. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2008, T. 32, nr 2, s. 379–409. [udostępniono 22.7.2024].
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