I am reading Crossley-Essential Topology. Definition "We say that a simplicial complex is n-dimensional if it has at least one n-simplex, but no (n + 1)-simplices, (n + 2)-simplices, etc".
The simplicial circle above is a one-dimensional simplicial complex with three 0-simplices (the vertices of the triangle) and three 1-simplices (the edges of the triangle)
Doubt: Since, simplical circle also has a triangle. Why don't we say that simplical circle has dimension 2 ?