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free coproduct completion

We may construct the free category with coproducts generated by C . We calc...

📦 .zip⚖️ 43.2 MB📅 05 Jan 2026

We may construct the free category with coproducts generated by C . We calculate the free coproduct completion of the interval category  ‎Explicit construction · ‎As Kleisli construction.

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The general idea of completion is that given an object of some sort C, we ....

📦 .zip⚖️ 69.9 MB📅 08 Apr 2026

The general idea of completion is that given an object of some sort C, we . the free completion under finite products or coproducts; the free  ‎Idea · ‎Completion and · ‎Free completion and lax · ‎List of completions in.

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For a small category C with multilimits for finite diagrams, a conceptual d...

📦 .zip⚖️ 111.5 MB📅 15 May 2026

For a small category C with multilimits for finite diagrams, a conceptual description of its free coproduct completion ∑(C) is given as the.

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Dually, the free limit-completion is given by the dual Yoneda .. cartesian ...

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Dually, the free limit-completion is given by the dual Yoneda .. cartesian closed category that preserves terminal object and binary coproducts.

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The coproduct completion and the exact completion in the case of an full su...

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The coproduct completion and the exact completion in the case of an full subcategory of Mod(C) consisting of free algebras, that is, functors of the kind LIzg.

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People often denote the exact completion of a regular category C by .. If y...

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People often denote the exact completion of a regular category C by .. If you mean a '“free coproduct completion” of Set', then yes, indeed.

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colimits of finite coproducts (see Section 3 for more about sifted colimits...

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colimits of finite coproducts (see Section 3 for more about sifted colimits) .. Let FamD be the free completion of D under finite coproducts, and J.

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category theory, including a formula for the free semiadditive ∞- the effec...

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category theory, including a formula for the free semiadditive ∞- the effective Burnside category of the formal coproduct completion of F. ≤n.

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Coproducts in particular are examples of colimits, so if we think of is the...

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Coproducts in particular are examples of colimits, so if we think of is the free cocomplete category on an object in the sense that if D.

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An extensive category is, roughly speaking, a category with finite coproduct...

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An extensive category is, roughly speaking, a category with finite coproducts which the free completion under coproducts of a general category, and the.

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), the step from Lemma to the equivalence of Nom with Nset is provided by t...

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), the step from Lemma to the equivalence of Nom with Nset is provided by the construction of the free coproduct completion of a (small) category.

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and modules, and exhibiting this as the free cocompletion of . categories w...

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and modules, and exhibiting this as the free cocompletion of . categories when V is taken to be the bicategory of categories with finite coproducts and . kind of completion of M under Kleisli objects, but in a different sense than KL(M).

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Now we remind the reader about the general properties of the free finite co...

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Now we remind the reader about the general properties of the free finite coproduct completion C+ of a category C. The category C+ has as its objects finite.

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differential equation, disjoint coproduct, effective – descent, 93 fraction...

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differential equation, disjoint coproduct, effective – descent, 93 fraction groupoid functor, free coproduct completion, Froebenius.

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For example, the free addition of finite coproducts to a small category is ...

📦 .zip⚖️ 92.4 MB📅 11 May 2026

For example, the free addition of finite coproducts to a small category is a KZ-adjointness. Let B" denote the finite coproduct completion of a small category B. It is.

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