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gptkbp:instanceOf
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gptkb:academic
gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:geometry
mathematical physics
combinatorics
graph theory
knot theory
classification of surfaces
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gptkbp:category
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gptkb:mathematics
gptkb:topology
combinatorics
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gptkbp:fieldOfStudy
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gptkb:topology
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gptkbp:hasTextbook
|
gptkb:Combinatorial_Topology_by_P._S._Alexandrov
gptkb:Elements_of_Combinatorial_and_Differential_Topology_by_V._V._Prasolov
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gptkbp:historicallyPrecededBy
|
gptkb:topology
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gptkbp:historicalPeriod
|
early 20th century
late 19th century
|
|
https://www.w3.org/2000/01/rdf-schema#label
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Combinatorial Topology
|
|
gptkbp:notableIdea
|
gptkb:Betti_numbers
gptkb:Euler_characteristic
homology
CW complex
barycentric subdivision
cellular homology
combinatorial manifold
nerve of a cover
piecewise linear topology
simplicial approximation theorem
simplicial homology
triangulation
|
|
gptkbp:notablePerson
|
gptkb:Henri_Poincaré
gptkb:Pavel_Alexandrov
gptkb:Solomon_Lefschetz
gptkb:Heinz_Hopf
gptkb:J._H._C._Whitehead
|
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gptkbp:relatedTo
|
gptkb:topology
|
|
gptkbp:replacedBy
|
gptkb:topology
|
|
gptkbp:studies
|
polyhedra
simplicial complexes
topological spaces
cell complexes
|
|
gptkbp:bfsParent
|
gptkb:Pavel_Alexandrov
|
|
gptkbp:bfsLayer
|
5
|