Eilenberg–Steenrod axioms

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf axiomatic system
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
https://www.w3.org/2000/01/rdf-schema#label Eilenberg–Steenrod axioms
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:Algebraic_topology
gptkb:Samuel_Eilenberg
gptkb:Norman_Steenrod
gptkb:David_Eilenberg
gptkbp:bfsLayer 6