Category: Set*

Set* is the category whose objects are pointed sets and arrows are based maps.

Facts Derived from Enrichment

Set* has a zero morphism between any two objects (enriched in Set*).

Set* is a closed category (enriched in itself).

Notable Subcategories

• CMon (plain)
• Pfn (equivalence)
• Set (plain)

Limits

Has a terminal object which is a zero object

Colimits

Has all finite colimits and a zero object

categories: Set*

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
• 0 rows from category in karoubi_envelopes
• 0 rows from internal_semigroups in categories_of_semigroups
• 0 rows from parent in categories_of_semigroups
• 1 row from category in enrichments
• 9 rows from homs in enrichments
• 0 rows from internal_relations in bicategories_of_relations
• 0 rows from parent in bicategories_of_relations
• 3 rows from category in categorical_structure
• 0 rows from subcategory in subcategories
• 2 rows from parent in subcategories
• 0 rows from groupoid in cores
• 0 rows from category in cores
• 0 rows from internal_monoids in categories_of_monoids
• 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
• 0 rows from skeleton in skeletons
• 0 rows from category in skeletons
• 0 rows from partial_category in restriction_categories
• 0 rows from total_subcategory in restriction_categories
• 0 rows from category in topoi
• 0 rows from category in monoidal_categories
• 0 rows from supercategory in full_subcategories
• 0 rows from subcategory in full_subcategories
• 0 rows from supercategory in essentially_wide_subcategories
• 0 rows from subcategory in essentially_wide_subcategories
• 0 rows from category in disconnected_categories
• 1 row from pointed in maybe_monads
• 0 rows from base in maybe_monads
• 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
• 0 rows from complete_2category in logical_completeness
• 0 rows from category in arrow_categories
• 0 rows from arrows in arrow_categories
• 0 rows from op in opposite_categories
• 0 rows from category in opposite_categories
• 0 rows from category in dagger_categories
• 0 rows from name in 2-categories