Geometric Realization

If the abstract simplicial complex S is isomorphic with the vertex scheme of the simplicial complex K, then K is said to be a geometric realization of S, and is uniquely determined up to a linear isomorphism.

See also

Abstract Simplicial Complex, Vertex Scheme

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

Referenced on Wolfram|Alpha

Geometric Realization

Cite this as:

Weisstein, Eric W. "Geometric Realization." From MathWorld--A Wolfram Web Resource.

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