Simplicial Homomorphism

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).

REFERENCES:

Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.

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