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Smash product of pointed objects in lextensive categories

✍ Scribed by Aurelio Carboni; George Janelidze

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
198 KB
Volume
183
Category
Article
ISSN
0022-4049

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✦ Synopsis

We describe a su cient condition on a ΓΏnitely complete and cocomplete lextensive category X, under which the categorical smash product provides a canonical (symmetric, distributive with respect to ΓΏnite coproducts) monoidal structure on the category (1 ↓ X) of its pointed objects. We also show that the ground category can be reconstructed as the category of objects with counit in (1 ↓ X).

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