Category: Top

Top is the category whose objects are topological spaces and arrows are continuous maps.

Facts Derived from Enrichment

Notable Subcategories

• Comp (reflection)
• Haus (full)
• LMet (plain)
• PDiff (plain)
• SoberTop (full)
• TopGrp (groups)
• TopMon (monoids)
• TopRing (rings)
• TopVect (plain)

Limits

Has all finite limits

Colimits

Has all finite colimits

categories: Top

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
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• 0 rows from parent in categories_of_semigroups
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• 0 rows from parent in bicategories_of_relations
• 8 rows from category in categorical_structure
• 2 rows from subcategory in subcategories
• 3 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
• 1 row from parent in categories_of_monoids
• 0 rows from internal_rings in categories_of_rings
• 1 row from parent in categories_of_rings
• 0 rows from skeleton in skeletons
• 0 rows from category in skeletons
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• 1 row 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
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• 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
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• 0 rows from parent in categories_of_abelian_groups
• 0 rows from internal_abelian_groups in categories_of_abelian_groups
• 1 row 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
• 1 row from parent in categories_of_groups
• 1 row from supercategory in reflective_subcategories
• 0 rows from subcategory in reflective_subcategories
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• 0 rows from vertical_2cat in double_categories
• 0 rows from example_categeory in logical_completeness
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• 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