Cellular Homology

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:advantage Simplifies computation for CW complexes
gptkbp:appearsIn Algebraic topology textbooks
gptkbp:appliesTo CW complexes
gptkbp:computes gptkb:Homology_groups
gptkbp:definedIn Finite CW complexes
Infinite CW complexes
gptkbp:field gptkb:Algebraic_topology
gptkbp:hasApplication Classification of topological spaces
Computation of Betti numbers
Study of manifolds
https://www.w3.org/2000/01/rdf-schema#label Cellular Homology
gptkbp:introduced gptkb:J._H._C._Whitehead
gptkbp:partOf Homology theory
gptkbp:referencedIn gptkb:Allen_Hatcher's_Algebraic_Topology
gptkbp:relatedTo Simplicial homology
Singular homology
gptkbp:usedFor Computing homology of CW complexes
gptkbp:uses Boundary operator
Cellular chain complex
Cellular filtration
gptkbp:bfsParent gptkb:Singular_Homology_Theory
gptkbp:bfsLayer 7