关于Wehrheim-Woodward范畴的一个注记
A note on the Wehrheim-Woodward category
摘要：
Wehrheim和Woodward已经证明了如何将辛流形之间的所有正则关系嵌入到一个范畴中，在这个范畴中，当满足横截性和嵌入假设时，合成是通常的。在它们范畴中的态射是具有典型关系的可合成序列的等价类，其合成由连接给出。本文证明了每一个这样的态射都是由两个关系组成的序列表示的，其中一个是约化关系，另一个是余约化关系。
英文摘要：
Wehrheim and Woodward have shown how to embed all the canonical relations between symplectic manifolds into a category in which the composition is the usual one when transversality and embedding assumptions are satisfied. A morphism in their category is an equivalence class of composable sequences of canonical relations, with composition given by concatenation. In this note, we show that every such morphism is represented by a sequence consisting of just two relations, one of them a reduction and the other a coreduction.
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。
