Introduction to Piecewise-Linear Topology

Subdivision (simplicial complex)

A subdivision (also called refinement) of a simplicial complex is another simplicial complex in which, intuitively, one or more simplices of the original complex have…

Simplicial map

A simplicial map (also called simplicial mapping) is a function between two simplicial complexes, with the property that the images of the vertices of a simplex always…

Link (simplicial complex)

The link in a simplicial complex is a generalization of the neighborhood of a vertex in a graph.

Join (topology)

In topology, a field of mathematics, the join of two topological spaces.