Călin Popescu: On Fan's combinatorial Stokes formula, 327-332

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.