双闭双范畴：卷积的局部化
Biclosed bicategories: localisation of convolution
摘要：
我们给出了作者题为"双闭范畴的构造“（澳大利亚新南威尔士大学，1970）的论文中的主要结果的一个摘要（没有证明）。本摘要直接转载自麦考瑞大学数学与物理学院1981年4月的报告81-0030。特别地，给出了（pro）幺半范畴结构沿给定稠密函子扩张到余完备范畴的充分条件.在证明中使用的两个基本程序原来是最终结果的特殊情况下，两个各自的稠密函子，然后是米田嵌入其次是本地化。最后的结果具有一个标准的泛性质，基于（亲）monoidal函子沿给定稠密函子的左Kan扩张，然而，这个性质在这里没有明确说明。
英文摘要：
We give a summary (without proofs) of the main results in the author's thesis entitled ``Construction of biclosed categories'' (University of New South Wales, Australia, 1970). This summary is reprinted directly from Report 81-0030 of the School of Mathematics and Physics, Macquarie University, April 1981. In particular, it gives sufficient conditions for existence of an extension of a (pro)monoidal category structure along a given dense functor to a cocomplete category. The two basic procedures used in the proof turn out to be special cases of the final result, the two respective dense functors then being the Yoneda embedding followed by a localisation. The final result has a standard universal property based on left Kan extension of (pro)monoidal functors along the given dense functor, however this property is not stated explicitly here.
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。
