I'm starting to study triangulations of topological spaces by myself. I find really difficult since I've never seen any formal example of a triangulation in any book! So, I began with the one of the simplest examples, the closed disc:
What I know:
1) The closed disc is homeomorphic to the triangle.
2) The realization of the 2-simplex is a triangle in $\mathbb R^2$
3) The triangulation of topological space is a homeomorphism between this one and a realization
What I did:
I made a homeomorphism between the closed disc and a triangle, and I said this one is a triangulation.
Am I wrong? if yes where did I made mistakes?
Thanks in advance.