All Questions
Tagged with triangulations differential-topology
6 questions
6
votes
2
answers
370
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Does every triangulable manifold have a vertex-transitive triangulation?
Does every triangulable manifold have a vertex-transitive triangulation?
When I talk about a vertex-transitive triangulation of a manifold, I mean in the sense of realizing a manifold homeomorphically ...
0
votes
1
answer
101
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A question on relation of different triangulations of a triangulable space
Suppose we get two triangulations of a manifold with boundary $M$ such that the triangulation is compatible with boundary, i.e. the restriction on the boundary is itself a triangulation, is it these ...
2
votes
0
answers
138
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Does any smooth oriented closed orbifold have a fundamental class
This thread:triangulation of orbifolds
has shown that any smooth closed orbifold has a triangulation. My further question is: if the difference of any two triangulations $P$ and $Q$ is a boundary of a ...
11
votes
2
answers
326
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Triangulation with simplices of same volume
Let $M$ be a Riemannian smooth compact manifold.
It is known that $M$ has a triangulation, for any dimension. But do we know if there exists a triangulation such that all simplices have same volume ?
...
10
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0
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742
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Can any smooth triangulation of a smooth manifold be blurred?
For the purposes of this question, let's say that a blurring
of a smooth triangulation $T$ of a smooth manifold $X$
is a smooth homotopy $h\colon [0,1] \times X \to X$ such that $h_0=\operatorname{id}...
2
votes
0
answers
104
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Existence of triangulation of Lipschitz domains
Consider a bounded Lipschitz domain $\Omega \subset \mathbb R^n$.
Q1: Can its closure $\overline\Omega$ be triangulated?
Q2: If yes, can the triangulation be chosen as finite? Furthermore, how ...