Combinatorial lemmas for nonoriented pseudomanifolds

Adam Idzik, Konstanty Junosza-Szaniawski

DOI: http://dx.doi.org/10.12775/TMNA.2003.047

Abstract


Sperner lemma type theorems are proved for nonoriented primoids and
pseudomanifolds. A rank function of a primoid is defined. Applications of
these theorems to the geometric simplex are given. Also
Knaster-Kuratowski-Mazurkiewicz type theorems on covering of the geometric
simplex are presented.

Keywords


KKM covering; labelling; primoid; pseudomanifold; simplicial complex

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