homotopy excision theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns topological spaces
homotopy groups
pairs of spaces
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label homotopy excision theorem
gptkbp:introduced gptkb:J._H._C._Whitehead
gptkbp:introducedIn 1941
gptkbp:relatedTo excision theorem in homology
gptkbp:state under certain conditions, the inclusion of pairs induces isomorphisms on homotopy groups up to a certain degree
gptkbp:usedIn algebraic topology textbooks
proofs of the relative Hurewicz theorem
gptkbp:bfsParent gptkb:Blakers–Massey_theorem
gptkbp:bfsLayer 7