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 SchemeExplore with Wolfram|Alpha
References
Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.Referenced on Wolfram|Alpha
Geometric RealizationCite this as:
Weisstein, Eric W. "Geometric Realization." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeometricRealization.html