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database/data/001_categories/007_tiny.sql

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@@ -12,10 +12,10 @@ VALUES
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(
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'0',
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'empty category',
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'$0$',
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'$\mathbf{0}$',
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'no objects',
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'no morphisms',
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'This is the category with no objects and no morphisms. It is the initial object in the category of (small) categories.',
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'This is the category with no objects and no morphisms. It is the initial object in the category of small categories.',
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'https://ncatlab.org/nlab/show/empty+category',
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NULL
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),
@@ -25,17 +25,17 @@ VALUES
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'$\mathbf{1}$',
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'a single object $0$',
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'only the identity morphism',
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'This is the simplest category, consisting of a single object $0$ and its identity morphism $0 \to 0$. It is the terminal object in the category of small categories.',
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'This is the simplest category, consisting of a single object $0$ and its identity morphism $0 \to 0$. A concrete representation is the full subcategory of $\mathbf{Set}$ consisting of the empty set. It is the terminal object in the category of small categories.',
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'https://ncatlab.org/nlab/show/terminal+category',
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NULL
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),
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(
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'2',
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'discrete category on two objects',
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'$\mathbf{2}$',
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'two objects',
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'two objects $0$ and $1$',
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'only the two identity morphisms',
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'For a more concrete representation, this is the subcategory of $\mathbf{CRing}$ of the two fields $\mathbb{F}_2$ and $\mathbb{F}_3$.',
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'A concrete representation is the full subcategory of $\mathbf{CRing}$ consisting of the two fields $\mathbb{F}_2$ and $\mathbb{F}_3$.',
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NULL,
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NULL
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),

database/data/001_categories/100_related-categories.sql

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INSERT INTO related_categories (category_id, related_category_id)
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VALUES
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('0', '1'),
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('1', '0'),
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('1', '2'),
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('2', '1'),
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('Ab', 'CMon'),

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