Eilenberg–Ganea theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:Eilenberg–MacLane_space
cohomological dimension
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Eilenberg–Ganea theorem
gptkbp:namedAfter gptkb:Samuel_Eilenberg
Tudor Ganea
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo Eilenberg–Ganea conjecture
gptkbp:state If a group G has cohomological dimension n ≥ 3, then there exists an Eilenberg–MacLane space K(G,1) of dimension n.
gptkbp:yearProposed 1957
gptkbp:bfsParent gptkb:David_Eilenberg
gptkbp:bfsLayer 6