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.

# Geometric Realization

## See also

Abstract Simplicial Complex, Vertex Scheme## Explore with Wolfram|Alpha

## References

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. https://mathworld.wolfram.com/GeometricRealization.html