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arXiv 1402.0253math.CT
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顺序多范畴

Sequential multicategories

Claudio Pisani

摘要:

我们研究了对称多范畴的么半群闭范畴,特别是它的Carnival结构和序列多范畴(其箭头是给定范畴中的并发箭头的序列)的关系。然后,我们考虑carbohydrate多范畴在一个类似的角度和发展一些特殊的项目,如代数产品。当所涉及的多范畴中的某些范畴是可表示的时,作为这种分析的结果,出现了几个经典的事实。

英文摘要:

We study the monoidal closed category of symmetric multicategories, especially in relation with its cartesian structure and with sequential multicategories (whose arrows are sequences of concurrent arrows in a given category). Then we consider cartesian multicategories in a similar perspective and develop some peculiar items such as algebraic products. Several classical facts arise as a consequence of this analysis when some of the multicategories involved are representable.

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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