Definition 10.2.1 (Spherical fibration). Let \(B\) be an anima and let \(n \geq 0\). A rank \(n\) spherical fibration over \(B\) is a functor \(\xi \colon B \to \An _*\) which lands in the full subcategory spanned by the \(n\)-sphere \(S^n\). A spherical fibration is a rank \(n\) spherical fibration for some \(n\).

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