The Homotopy Theory of ∞-Categories

The Homotopy Theory of ∞-Categories
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∞-范畴的同伦理论

DOI:
10.1017/9781108588737.004
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发表时间:
2016
期刊:
Higher Categories and Homotopical Algebra
影响因子:
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通讯作者:
U. Bunke
U. Bunke
中科院分区:
--
文献类型:
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作者:
U. Bunke

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我们在不同类型的(标记的)*-类别上构建模型类别结构。这些结构用来表示由酉等价的反转(标记)得到的(标记)*-范畴的无穷范畴。我们使用这个演示来显式地计算了g等变(标记)*-类别的\infty -类别g不动点和g轨道。
We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.