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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
2000), On ∗autonomous categories of topological vector spaces. Cahiers de Topologie et Géométrie Différentielle Catégorique
"... Dedicated to Heinrich Kleisli on the occasion of his retirement We show that there are two (isomorphic) full subcategories of the category of locally convex topological vector spaces—the weakly topologized spaces and those with the Mackey topology—that form ∗autonomous categories. RÉSUMÉ. On mont ..."
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Dedicated to Heinrich Kleisli on the occasion of his retirement We show that there are two (isomorphic) full subcategories of the category of locally convex topological vector spaces—the weakly topologized spaces and those with the Mackey topology—that form ∗autonomous categories. RÉSUMÉ. On montre qu’il y a deux souscatégories (isomorphes) pleines de la catégorie des espaces vectoriels topologiques localement convexes—les espaces munis de la topologie faible et ceux munis de la topologie de Mackey—qui forment des catégories ∗autonomes. 1
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...
THE CHU CONSTRUCTION Dedicated to the memory of Robert W. Thomason, 1952{1995
"... Abstract. We take another look at the Chu construction and show how to simplify ..."
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Abstract. We take another look at the Chu construction and show how to simplify
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"... ABSTRACT. We take another look at the Chu construction and show how to simplify ..."
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ABSTRACT. We take another look at the Chu construction and show how to simplify