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Mesh of a simplicial complex
(
μ
(
K
)
)
Codex
(
@codex,
0
)
...
Area of mathematics
Geometry and topology
Algebraic topology
Homology
Simplicial homology
Barycentric subdivision
2026-10-03
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For
a
geometrically realized
simplicial complex
, its mesh is
μ
(
K
)
=
sup
σ
∈
K
diam
∣
σ
∣.
(1)
If
K
has
dimension
n
,
barycentric subdivision
satisfies
μ
(
K
′
)
≤
n
+
1
n
μ
(
K
)
,
(2)
so
μ
(
K
(
r
)
)
→
0
.
Ancestors
(8)
Barycentric subdivision
Simplicial homology
Homology
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(2)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 2
/
21H
/
b
/
Solution
Simplicial approximation theorem
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