The Chu construction
Theory and applications of categories, Tome 2 (1996), pp. 17-35
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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 non-symmetric biclosed monoidal category. We also show that if the original category is accessible, then for any of a large class of ``polynomial-like'' functors, the category of coalgebras has cofree objects.
Classification :
18D15.
Keywords: Chu category, bimodules, cofree coalgebras.
Keywords: Chu category, bimodules, cofree coalgebras.
@article{TAC_1996_2_a1,
author = {Michael Barr},
title = {The {Chu} construction},
journal = {Theory and applications of categories},
pages = {17--35},
year = {1996},
volume = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_1996_2_a1/}
}
Michael Barr. The Chu construction. Theory and applications of categories, Tome 2 (1996), pp. 17-35. http://geodesic.mathdoc.fr/item/TAC_1996_2_a1/