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THE CHU CONSTRUCTION
, 1996
"... We take another look at the Chu construction and show how to simplify it by looking at ..."
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We take another look at the Chu construction and show how to simplify it by looking at
The Chu Construction
, 1996
"... . We take another look at the Chu construction and show how to simplify it by looking at it as a module category in a trivial Chu category. This simplifies the construction substantially, especially in the case of a nonsymmetric biclosed monoidal category. We also show that if the original category ..."
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. We take another look at the Chu construction and show how to simplify it by looking at it as a module category in a trivial Chu category. This simplifies the construction substantially, especially in the case of a nonsymmetric biclosed monoidal category. We also show that if the original category is accessible, then for any of a large class of "polynomiallike" functors, the category of coalgebras has cofree objects. 1. Introduction In a recent paper, I showed how the Chu construction, given originally in [Chu, 1979] for symmetric monoidal closed categories, could be adapted to monoidal biclosed (but not necessarily symmetric) categories. The construction, although well motivated by the necessity of providing a doubly infinite family of duals, was rather complicated with many computations involving indices. Recently I have discovered that the autonomous structure of Chu categories can be put into the familiar context of bimodules over a not necessarily commutative "algebra" objec...