A Combinatorial Analog of the Poincaré–Birkhoff Fixed Point Theorem
Results from combinatorial topology have shown that certain combinatorial lemmas are equivalent to certain topologocal fixed point theorems. For example, Sperner’s lemma about labelings of triangulated simplices is equivalent to the fixed point theorem of Brouwer. Moreover, since Sperner’s lemma has...
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Scholarship @ Claremont
2003
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| Online Access: | https://scholarship.claremont.edu/hmc_theses/145 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1148&context=hmc_theses |