Abstract:
We discuss a short proof of Fan's combinatorial Stokes formula for simplicial maps between homology manifolds and the oriented version of Sperner's lemma in careful detail, and derive Lebesgue's edge-path theorem.
Key Words: homology manifold, simplicial map, Fan's combinatorial Stokes formula, Sperner's lemma, Lebesgue's edge-path theorem.
2010 Mathematics Subject Classification: Primary 55U10, Secondary 52B05.