boundary (algebraic topology)
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
cellular homology
simplicial homology singular homology |
| gptkbp:category |
gptkb:mathematics
gptkb:topology |
| gptkbp:defines |
The boundary of a chain is the formal sum of the boundaries of its simplices or cells.
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
boundary (algebraic topology)
|
| gptkbp:notation |
∂
|
| gptkbp:property |
The boundary of a boundary is zero.
|
| gptkbp:relatedTo |
homology
chain complex boundary operator |
| gptkbp:satisfies |
∂∘∂ = 0
|
| gptkbp:usedIn |
definition of boundaries
definition of cycles definition of homology groups |
| gptkbp:bfsParent |
gptkb:chain_(algebraic_topology)
|
| gptkbp:bfsLayer |
7
|