Let $X$ be a topological space. If there exists a simplicial complex $K$ and a homeomorphism $f:|K| \rightarrow X, X$ is said to be triangulable and the pair $(K, f)$ is called a triangulation of $X$.
Topology, Geometry and Physics- Nakhara, 2nd ed,pg-101
I have some doubts on the following definition:
- How does one actually 'think' of triangulating topological spaces? Is there some visual intuition for it?
- I am confused on how the homomorphism is done. I suppose it maybe mainly because I don't understand the topology of simplical complexes.