Talk:Triangulation (topology)
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stub
[edit]This is a stub! more definition wanted
Can someone clarify "the link of any simplex is a piecewise-linear sphere."? Dewa (talk) 21:20, 16 October 2008 (UTC)
- Better now? —David Eppstein (talk) 21:49, 16 October 2008 (UTC)
I think this is still not right. E.g. for a traingulated 2-surface the link of an edge (1-simplex) is the boundary of an 1-simplex. More generally, it should be that for an n-manifold without boundary the link of a p-simplex is PL-homeomorphic to the boundary of an (n-p)-simplex. — Preceding unsigned comment added by Dimpase (talk • contribs) 17:54, 20 January 2020 (UTC)
Article should carefully distinguish PL from merely homeomorphic to a simplicial complex
[edit]Later in the article, this distinction is observed. But the introduction contains this sentence:
"In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex"
which seems to make no distinction between a) piecewise linear (PL) and b) homeomorphic to a simplicial complex.