Maths - Kan Fibration


Kan fibrations (AKA Kan complexes) are part of the theory of simplicial sets. Kan fibrations are the fibrations of the standard model category structure on simplicial sets.

For a general discussion about fibrations see the page here.

Fibration and Co-fibration

Homotopy has the concept of:


(lifting property)

(Extension Property)

(see page here)

(see page here)

(simplicial sets)

Kan fibration
(see page here)
Kan extension
(see page here)

Kan fibrations are combinatorial analogs of Serre fibrations of topological spaces.


Extension is dual to lift.

Fibrations and Cofibrations are used in model theory.






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