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add property: cocartesian cofiltered limits
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database/data/003_properties/003_limits-colimits-behavior.sql

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'In a category $\mathcal{C}$, which we assume to have filtered colimits and finite products, we say that <i>filtered colimits are cartesian</i> if for every finite set $I$ the product functor $\prod : \mathcal{C}^I \to \mathcal{C}$ preserves filtered colimits. Equivalently, for every $X \in \mathcal{C}$ the functor $X \times - : \mathcal{C} \to \mathcal{C}$ preserves filtered colimits.<br>
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This is no standard terminology, it has been suggested in <a href="https://mathoverflow.net/questions/510240" target="_blank">MO/510240</a>. We have added it to the database since it clarifies the relationship between many related properties.',
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NULL,
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'cocartesian cofiltered limits',
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TRUE
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),
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(
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'cocartesian cofiltered limits',
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'has',
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'In a category $\mathcal{C}$, which we assume to have cofiltered limits and finite coproducts, we say that <i>cofiltered limits are cocartesian</i> if for every finite set $I$ the coproduct functor $\coprod : \mathcal{C}^I \to \mathcal{C}$ preserves cofiltered limits. Equivalently, for every $X \in \mathcal{C}$ the functor $X \sqcup - : \mathcal{C} \to \mathcal{C}$ preserves cofiltered limits.<br>
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This is no standard terminology, its dual has been suggested in <a href="https://mathoverflow.net/questions/510240" target="_blank">MO/510240</a>. We have added it to the database since it clarifies the relationship between many related properties.',
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NULL,
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'cartesian filtered colimits',
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TRUE
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),
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(

database/data/003_properties/100_related-properties.sql

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('cartesian filtered colimits', 'filtered colimits'),
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('cartesian filtered colimits', 'finite products'),
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('cartesian filtered colimits', 'exact filtered colimits'),
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('cocartesian cofiltered limits', 'cofiltered limits'),
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('cocartesian cofiltered limits', 'finite coproducts'),
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('generator', 'generating set'),
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('generating set', 'generator'),
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('Grothendieck abelian', 'abelian'),

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