منابع مشابه
Topological ∗-autonomous categories, revisited
Given an additive equational category with a closed symmetric monoidal structure and a potential dualizing object, we find sufficient conditions that the category of topological objects over that category has a good notion of full subcategories of strong and weakly topologized objects and show that each is equivalent to the chu category of the original category with respect to the dualizing obj...
متن کاملCompactification of *-autonomous categories
We study the question when a ∗-autonomous (Mix-)category has a representation as a ∗-autonomous category of a compact one. We prove that necessary and sufficient condition is that weak distributivity maps are monic (or, equivalently epic). For a Mix-category, this condition is, in turn, equivalent to the requirement that Mix-maps be monic (or epic). We call categories satisfying this property t...
متن کاملTopological ∗ - Autonomous Categories
Given an additive equational category with a closed symmetric monoidal structure and a potential dualizing object, we find sufficient conditions that the category of topological objects over that category has a good notion of full subcategories of strong and weakly topologized objects and show that each is equivalent to the chu category of the original category with respect to the dualizing obj...
متن کامل∗-autonomous categories, revisited
functionals as A and one the greatest such topology. We assume without further mention that in any extensional object (V, V ′) of Chuse , V ′ can be assumed to be a set of functionals. Also in any map (f, f ′): (V, V ′) −→ (W,W ′), f ′ = − ◦ f . Let A denote the space with the same underlying vector space as A and in which a linear subspace U ⊆ A is open when every functional on |A| that vanish...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1995
ISSN: 0304-3975
DOI: 10.1016/0304-3975(94)00089-2