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September 27, 2013 / porton

New definitions of products and coproducts in certain categories

I have updated this article. It now contains a definition of product and coproduct for arbitrary morphisms of a dagger category every of Hom-sets of which is a complete lattice.

Under certain conditions these products and coproducts are categorical (co)products for a certain category (“category of continuous morphisms”) having endomorphisms of the aforementioned category as objects.


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