We note that Weihrauch problems can be regarded as containers over the category of projective represented spaces and that Weihrauch reductions correspond exactly to container morphisms. We also show that Bauer's extended Weihrauch degrees and the posetal reflection of containers over partition assemblies are equivalent. Using this characterization, we show how a number of operators over Weihrauch degrees, such as the composition product, also arise naturally from the abstract theory of polynomial functors.

翻译：我们注意到，Weihrauch问题可视为射影表示空间范畴上的容器，且Weihrauch归约恰好对应于容器态射。我们还证明了Bauer的扩展Weihrauch度与划分装配上容器的偏序集反射是等价的。利用这一特征，我们展示了Weihrauch度上的若干算子（如复合积）如何自然地源于多项式函子的抽象理论。