Simplicial Databases , David I. Spivak.
In this paper, we define a category DB, called the category of simplicial databases, whose objects are databases and whose morphisms are data-preserving maps.
Along the way we give a precise formulation of the category of relational databases, and prove that it is a full subcategory of DB.
We also prove that limits and colimits always exist in DB and that they correspond to queries such as select, join, union, etc....
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