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arXiv 0905.3156math.ATmath.CT
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从纤维对称双幺半群范畴到对称谱

From fibered symmetric bimonoidal categories to symmetric spectra

Jose Manuel Gomez

摘要:

本文定义了纤维对称双单范畴的概念。粗略地说,这些是纤维范畴D-> C,其纤维是由C参数化的对称幺半范畴,并且使得D和C都具有满足我们所描述的某些凝聚性的对称幺半范畴的进一步结构。我们的目标是证明我们可以用函子的方式对应于纤维对称双单类范畴的E_{\infty}-环谱。

英文摘要:

In here we define the concept of fibered symmetric bimonoidal categories. These are roughly speaking fibered categories D->C whose fibers are symmetric monoidal categories parametrized by C and such that both D and C have a further structure of a symmetric monoidal category that satisfy certain coherences that we describe. Our goal is to show that we can correspond to a fibered symmetric bimonoidal category an E_{\infty}-ring spectrum in a functorial way.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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