All Questions
Tagged with differential-topology triangulations
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:[0,1]×X→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 Ω⊂Rn.
Q1: Can its closure ¯Ω be triangulated?
Q2: If yes, can the triangulation be chosen as finite? Furthermore, how ...