Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:axiomatic_system
gptkb:set_of_axioms |
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
extraordinary cohomology theory
|
| gptkbp:hasAxiom |
gptkb:homotopy_axiom
additivity axiom dimension axiom exactness axiom excision axiom functoriality axiom |
| gptkbp:introduced |
gptkb:Samuel_Eilenberg
gptkb:Norman_Steenrod |
| gptkbp:introducedIn |
1945
|
| gptkbp:numberOfAxioms |
six
|
| gptkbp:publishedIn |
gptkb:Foundations_of_Algebraic_Topology
|
| gptkbp:purpose |
define homology theory
|
| gptkbp:relatedConcept |
gptkb:cohomology_theory
topological invariants |
| gptkbp:usedFor |
cohomology theories
simplicial homology singular homology |
| gptkbp:bfsParent |
gptkb:Samuel_Eilenberg
gptkb:Norman_Steenrod gptkb:David_Eilenberg |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Eilenberg–Steenrod axioms
|