Combinatorics of complexes plays an important role in topology, nonlinear analysis, game theory, and mathematical economics. In 1967, Ky Fan used door-to-door principle to prove a combinatorial Stokes' theorem on pseudomanifolds. In 1993, Shih and Lee developed the geometric context of general position maps, π-balanced and π-subbalanced sets and used them… (More)
A retrievel of a Sperner map from a Sperner matroid is illustrated. As an application, a new proof of a completion theorem of Lovász's matroid version of Sperner's lemma is given.