Fiber functors in category theory, topology and algebraic geometry refer to several loosely related functors that generalise the functors taking a covering space π : X → S {\displaystyle \pi \colon X\rightarrow S} to the fiber π − 1 ( s ) {\displaystyle \pi ^{-1}(s)} over a point s ∈ S {\displaystyle s\in S} . == Definition == A fiber functor (or fibre functor) is a loose concept which has multiple definitions depending on the formalism considered.
Fiber functors in category theory, topology and algebraic geometry refer to several loosely related functors that generalise the functors taking a covering space π : X → S {\displaystyle \pi \colon X\rightarrow S} to the fiber π − 1 ( s ) {\displaystyle \pi ^{-1}(s)} over a point s ∈ S {\displaystyle s\in S} . == Definition == A fiber functor (or fibre functor) is a loose concept which has multiple definitions depending on the formalism considered.
Source: Wikipedia "Fiber functor" · CC BY-SA 4.0
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