| H.Lindner "A remark on Mackey functors." Manuscripta Math. 18 (1976) 273-278. |
....2 For example, the categories Span(X) and Rel(E) of spans and relations are compact closed for finitely complete X and regular E. Furthermore, SP roc(X) is compact closed for any finitely complete X. 3.3. 2 Biproducts Coproducts in a lextensive category C, give rise to biproducts in Span(C) [Lin76]. If C is a lextensive category with a cover system X , Proposition 23 P roc(C; X ) has finite biproducts provided preserves X . Proof. In a lextensive category, is stable and the injections and codiagonal are cartesian. As preserves X , it is also X stable. Thus coproducts lift 22 to P ....
H. Lindner. A remark on mackey-functors. Manuscripta Mathematica, 18:273--278, 1976.
....as the product of the original category when lifted to the span category has a right adjoint it must distribute over any coproducts the span category has. Thus, if the span biproduct arises from the original category s coproduct, the original category must have been distributive. Lindner [Li76] observed a converse to this that the coproduct of extensive distributive categories gives rise to a biproduct in the span category. 5.4 Modules of bialgebras It is generally known that the modules of a Hopf algebra of a autonomous category form a autonomous category. Perhaps this is one of ....
Lindner H. A remark on Mackey-functors. Manuscripta Math. 18 (1976) 273 - 278.
....Prop. 2] Topological Mackey functors The notion of Mackey functors that we presented can be extended in various ways, for example, by allowing the functor to take values in other categories than Ab. More generally, one can work with the notion of Mackey functors between suitable categories; cf. Lin76] Here we are concerned with an instance of such generalizations. Definition 3.5. A topological Mackey functor is a Mackey functor with values in the category AT OG consisting of abelian topological groups and continuous homomorphisms. We have seen in the previous section that one has a ....
H. Lindner, A remark on Mackey functors, Manuscripta Math. 18 (1976), 273--278.
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H.Lindner "A remark on Mackey functors." Manuscripta Math. 18 (1976) 273-278.
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