Vertex Scheme

If K is a simplicial complex, let V be the vertex set of K. Furthermore, let K be the collection of all subsets {a_0,...,a_n} of V such that the vertices a_0, ..., a_n span a simplex of K. Then the collection K is called the vertex scheme of K (Munkres 1993, p. 15).

See also

Geometric Realization, Vertex Set

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Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.

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Vertex Scheme

Cite this as:

Weisstein, Eric W. "Vertex Scheme." From MathWorld--A Wolfram Web Resource.

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