Homotopy category

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:describes homotopy classes of morphisms
gptkbp:field gptkb:topology
gptkbp:generalizes homotopy category of chain complexes
gptkbp:hasFunctor homology
cohomology
homotopy groups
https://www.w3.org/2000/01/rdf-schema#label Homotopy category
gptkbp:introduced gptkb:J._H._C._Whitehead
gptkbp:isQuotientOf category of topological spaces
gptkbp:morphismType homotopy class of continuous maps
gptkbp:notation gptkb:hTop
gptkbp:originatedIn topological spaces
gptkbp:quotientsBy gptkb:homotopy_equivalence
gptkbp:relatedTo gptkb:category_theory
homotopy theory
derived functor
gptkbp:type gptkb:topology
gptkbp:usedIn model categories
stable homotopy theory
derived categories
gptkbp:bfsParent gptkb:Derived_category
gptkbp:bfsLayer 6