Biclosed bicategories: localisation of convolution
msra(2007)
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.
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关键词
category theory,quantum algebra
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