If 
is a simplicial
complex, let 
be the vertex set of 
. Furthermore, let 
be the collection of all subsets 
of 
such that the vertices 
, ..., 
span a simplex of 
. Then the collection 
is called the vertex scheme of 
(Munkres 1993, p. 15).
Vertex Scheme
See also
Geometric Realization, Vertex SetExplore with Wolfram|Alpha
References
Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.Referenced on Wolfram|Alpha
Vertex SchemeCite this as:
Weisstein, Eric W. "Vertex Scheme." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VertexScheme.html