Homotopy limit

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appearsIn gptkb:Higher_category_theory
Simplicial sets
Spectra (algebraic topology)
gptkbp:citation Bousfield, A. K.; Kan, D. M. (1972). Homotopy limits, completions and localizations.
Goerss, Paul G.; Jardine, John F. (1999). Simplicial Homotopy Theory.
gptkbp:definedIn Diagrams in a model category
gptkbp:describedBy Homotopical algebra
gptkbp:field gptkb:Algebraic_topology
gptkbp:generalizes Limit (category theory)
gptkbp:hasComputationMethod Bousfield–Kan formula
Mapping space construction
Totalization of cosimplicial objects
gptkbp:hasDual gptkb:Homotopy_colimit
https://www.w3.org/2000/01/rdf-schema#label Homotopy limit
gptkbp:introduced gptkb:Daniel_Quillen
gptkbp:preserves gptkb:Homotopy_equivalence
gptkbp:relatedTo Category theory
Homotopy theory
gptkbp:usedIn Derived functors
Model categories
gptkbp:bfsParent gptkb:Homotopy_group
gptkbp:bfsLayer 8