Let 
be a bijective correspondence such that the vertices 
, ..., 
of 
span a simplex of 
iff 
, ..., 
span a simplex of 
. Then the induced simplicial
map 
is a homeomorphism, and the map 
is called a simplicial homeomorphism (Munkres 1993, p. 13).
Simplicial Homomorphism
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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
Simplicial HomomorphismCite this as:
Weisstein, Eric W. "Simplicial Homomorphism." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SimplicialHomomorphism.html