Steinitz exchange lemma

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo vector spaces
gptkbp:concerns bases
linear independence
spanning sets
gptkbp:field linear algebra
gptkbp:firstPublished 1913
https://www.w3.org/2000/01/rdf-schema#label Steinitz exchange lemma
gptkbp:implies all bases of a finite-dimensional vector space have the same cardinality
gptkbp:namedAfter gptkb:Ernst_Steinitz
gptkbp:relatedTo matroid theory
replacement theorem
gptkbp:usedIn basis exchange property
dimension theorem
gptkbp:bfsParent gptkb:Ernst_Steinitz
gptkbp:bfsLayer 4