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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:appliesTo
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gptkb:CW_complex
gptkb:Riemannian_manifold
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gptkbp:b_0
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number of connected components
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gptkbp:b_1
|
number of independent loops
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gptkbp:b_2
|
number of independent voids
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gptkbp:category
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gptkb:topology
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gptkbp:describes
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gptkb:topology
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gptkbp:field
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gptkb:topology
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gptkbp:firstBettiNumber
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number of independent 1-dimensional cycles
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gptkbp:generalizes
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gptkb:Euler_characteristic
|
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gptkbp:introducedIn
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gptkb:19th_century
|
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gptkbp:isSequence
|
b_0, b_1, b_2, ...
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gptkbp:measures
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number of independent cycles
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gptkbp:namedAfter
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gptkb:Enrico_Betti
|
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gptkbp:notation
|
b_n
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gptkbp:relatedTo
|
homology group
|
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gptkbp:secondBettiNumber
|
number of independent 2-dimensional cycles
|
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gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:cohomology_theory
differential geometry
topological data analysis
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gptkbp:bfsParent
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gptkb:Euler_characteristic
gptkb:Combinatorial_Topology
gptkb:Poincaré_polynomial
gptkb:Weil_conjectures
gptkb:Enrico_Betti
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gptkbp:bfsLayer
|
6
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https://www.w3.org/2000/01/rdf-schema#label
|
Betti numbers
|