Whitehead theorem

GPTKB entity

Statements (11)
Predicate Object
gptkbp:instanceOf gptkb:theorem
gptkbp:appliesTo topological spaces
gptkbp:description conditions for homotopy equivalence
gptkbp:hasRelatedPatent mathematics
https://www.w3.org/2000/01/rdf-schema#label Whitehead theorem
gptkbp:isCitedBy many mathematical papers
gptkbp:isNamedAfter gptkb:J._H._C._Whitehead
gptkbp:isPartOf Whitehead's_work_on_homotopy_theory
gptkbp:isRelatedTo homotopy theory
gptkbp:isUsedIn algebraic topology
gptkbp:state a map is a homotopy equivalence if it induces isomorphisms on all homotopy groups