An abstract simplicial complex is a collection 
of finite nonempty sets such that if 
is an element of 
, then so is every nonempty subset of 
(Munkres 1993, p. 15).
Abstract Simplicial Complex
See also
Simplicial ComplexExplore with Wolfram|Alpha
References
Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.Referenced on Wolfram|Alpha
Abstract Simplicial ComplexCite this as:
Weisstein, Eric W. "Abstract Simplicial Complex." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbstractSimplicialComplex.html