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.
Citation
Adam Idzik. Konstanty Junosza-Szaniawski. "Combinatorial lemmas for nonoriented pseudomanifolds." Topol. Methods Nonlinear Anal. 22 (2) 387 - 398, 2003.
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