Categories with Slicing

نویسنده

  • THORSTEN PALM
چکیده

Prior work towards the subject of higher-dimensional categories gives rise to several examples of a category over Cat to which the slice-category construction can be lifted universally. The present paper starts by supplying this last clause with a precise meaning. It goes on to establish for any such category a certain embedding in a presheaf category, to describe the image, and hence to derive conditions collectively sufficient for that functor to be an equivalence. These conditions are met in the foremost of the examples: the category of dendrotopic sets.

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تاریخ انتشار 2009