Nilpotence theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field gptkb:topology
homotopy theory
https://www.w3.org/2000/01/rdf-schema#label Nilpotence theorem
gptkbp:influenced chromatic filtration
thick subcategory theorem
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedConcept gptkb:Morava_K-theory
chromatic homotopy theory
stable homotopy theory
nilpotent element
gptkbp:sentence A map between finite spectra is nilpotent if and only if it induces the zero map in all Morava K-theories.
gptkbp:statedIn gptkb:Michael_J._Hopkins
gptkb:Ethan_Devinatz
gptkb:Jeff_Smith
gptkbp:yearProved 1988
gptkbp:bfsParent gptkb:Douglas_Ravenel
gptkbp:bfsLayer 7