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Reflective obstructions, that is branch divisors, are a special problem related to the orthogonal group. They do not appear in the case of moduli spaces of polarised abelian
Conversely, a pointed protomodular and regular category satisfies M1.1 (Theorem 12 of [Bourn, 2001]) and the pullback of a cokernel is a cokernel, since they coincide with the
Namely, new factorization systems are constructed on the categories of Abelian groups (more generally, on any Abelian category), groups with unary operators, locally com- pact
This implies that, for any combinatorial model category K , there is a regular cardinal λ such that homotopy λ -filtered colimits are weak colimits, which leads to our generalized
A bit more 2-category theory than we have discussed here (see [Kel74]) gives us a notion of ‘lax/oplax’ framed adjunction, in which the left adjoint is oplax and the right adjoint
d - Space of d-spaces (in the sense of [11]) is topological and its full subcategory generated by suitably ordered cubes is our proposed convenient category for directed homotopy..
Every algebraically exact category K is complete, exact, and has filtered colimits which (a) commute with finite limits and (b) distribute over products; besides (c)
Now since q preserves limits as well as colimits (by Proposition 2.4), it follows from Theorem 2.2 that the equifier subcategory inside the category of coalgebras is a
