… properties of formal completions of categories along subcategories. All categories are …
Further, by a ”compactly generated triangulated category” we mean a ”triangulated category …

… to completions, perhaps including those relative completions … , a 2-category V-CAT; but
2-categories are not yet the formal … existence of a small dense subcategory of A neither implies …

… be expressed formally in terms of displayed categories, giving an … To that end, most
constructions and results of the present paper … Its total category is the full subcategory of c of …

… We show that the full subcategory of Coh whose objects are generated from the singleton …
organized by a number of products alternating with a number of coproducts, we formally let …

… of ‘category’ for which equality and equivalence of categories agree. Such categories satisfy
a … This is true both at an informal level, and when trying to be completely formal using a …

… completions of triangulated categories of singularities of two schemes are equivalent if the
formal completions of these schemes along … ’s theorem on dense subcategories and a relation …

… that distributive categories are the correct formal setting for … These categories are equivalent
to the coproduct completion … that a distributive category is always a full subcategory of the …

… warmth, much transcend what we can express in a formal … subcategory that is compact
closed. Those compact closed … We end by defining F.&as the quotient of the free category K.-…

… whose objects are formal finite sums of objects of C, and … ∗-category is a full subcategory
of its Cauchy completion. By … W∗-category, we define the full subcategory of C generated by c …

… look at continuous categories with a small dense subcategory (in … Proceeding in formal
analogy, we generalize this … be the ind-completion of the dual of the category obtained by freely …