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Homology
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Algebraic topology
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Words: 516
Articles: 22
Homology assigns abelian groups
H
i
(
X
)
to a space, measuring cycles modulo boundaries in each dimension.
Table of contents
516
22
Exact sequence
Homology
16
Commutative diagram
Homology
24
Chain complex
Homology
225
10
Chain cycle
Chain complex
11
Chain boundary
Chain complex
12
Chain coefficient
Chain complex
12
Chain map
Chain complex
56
2
Induced map on homology
Chain map
19
Chain homotopy
Chain map
24
Mapping cone
Chain complex
39
Short exact sequence of chain complexes
Chain complex
71
2
Long exact sequence in homology
Short exact sequence of chain complexes
47
1
Connecting homomorphism
Long exact sequence in homology
17
Universal coefficient theorem for homology
Homology
50
1
Rational homology
Universal coefficient theorem for homology
20
Simplicial homology
Homology
104
4
Euler characteristic
Simplicial homology
39
1
Euler-Poincare formula
Euler characteristic
32
Barycentric subdivision
Simplicial homology
49
1
Barycentric subdivision of a tetrahedron
Barycentric subdivision
27
Local homology
Homology
82
1
Fixed barycentre of the barycentric tetrahedral two-skeleton
Local homology
53
Ancestors
(5)
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(2)
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