Category: Pos

Pos is the category whose objects are partial orders and arrows are monotone maps.

Facts Derived from Enrichment

Pos is a closed category (enriched in itself).

Pos is a 2-poset, a locally posetal or 2-thin 2-category (enriched in Pos).

Notable Subcategories

• DCPO (plain)
• HeytAlg (plain)
• Lat (plain)
• SemiLat (plain)
• Δ (plain)

Limits

Colimits

categories: Pos

This data as json

Links from other tables

• 0 rows from internal_commutative_monoids in categories_of_commutative_monoids
• 0 rows from parent in categories_of_commutative_monoids
• 0 rows from completion in karoubi_envelopes
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• 0 rows from parent in categories_of_semigroups
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• 8 rows from homs in enrichments
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• 0 rows from parent in bicategories_of_relations
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• 2 rows from subcategory in subcategories
• 5 rows from parent in subcategories
• 0 rows from groupoid in cores
• 0 rows from category in cores
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• 0 rows from parent in categories_of_monoids
• 0 rows from internal_rings in categories_of_rings
• 0 rows from parent in categories_of_rings
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• 0 rows from total_subcategory in restriction_categories
• 0 rows from category in topoi
• 0 rows from category in monoidal_categories
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• 0 rows from subcategory in full_subcategories
• 0 rows from supercategory in essentially_wide_subcategories
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• 0 rows from monoids in list_monads
• 0 rows from base in list_monads
• 0 rows from multisets in multiset_monads
• 0 rows from base in multiset_monads
• 0 rows from parent in categories_of_lie_algebras
• 0 rows from internal_lie_algebras in categories_of_lie_algebras
• 0 rows from parent in categories_of_abelian_groups
• 0 rows from internal_abelian_groups in categories_of_abelian_groups
• 0 rows from parent in categories_of_simplicial_objects
• 0 rows from internal_simplicial_sets in categories_of_simplicial_objects
• 0 rows from category in categories_with_animal_names
• 0 rows from internal_groups in categories_of_groups
• 0 rows from parent in categories_of_groups
• 0 rows from supercategory in reflective_subcategories
• 0 rows from subcategory in reflective_subcategories
• 0 rows from horizontal_2cat in double_categories
• 0 rows from vertical_2cat in double_categories
• 0 rows from example_categeory in logical_completeness
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• 0 rows from category in arrow_categories
• 0 rows from arrows in arrow_categories
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• 0 rows from category in opposite_categories
• 0 rows from category in dagger_categories
• 0 rows from name in 2-categories