Geometric Realization

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

See also

Abstract Simplicial Complex, Vertex Scheme

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References

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

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Geometric Realization

Cite this as:

Weisstein, Eric W. "Geometric Realization." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeometricRealization.html

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