Abstract:We introduce new Elmendorf constructions for equivariant categories and posets, and we prove that they are compatible with the classical topological one. Our constructions are more concrete than their model-categorical counterparts, and they give rise to new proofs of the Elmendorf theorems for equivariant categories and posets.

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中文翻译：

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𝐺-categories 和 𝐺-poseets 的 Elmendorf 构造

摘要：我们为等变类别和偏序引入了新的 Elmendorf 构造，并证明它们与经典拓扑结构兼容。我们的构造比它们的模型分类构造更具体，并且它们为等变范畴和偏序集提供了 Elmendorf 定理的新证明。

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