単体的複体の局所凸位相

In simplicial complexes, the Whitehead topology and the metric topology are well known. In the class of full simplicial complexes, the metric topology is locally convex, while the Whitehead topology is not necessarily locally convex. In this paper, we consider the strongest topology in the class of full simplicial complexes which is locally convex and is contained in the Whitehead topology, and study some interesting topological properties ; for example, M_1-ness and ANR (M_1).