nLab
notions of subcategory

• subcategory

  • full subcategory, wide subcategory, dense subcategory, replete subcategory, reflective subcategory, coreflective subcategory,

  • abelian subcategory, Serre subcategory, topologizing subcategory

  • internal subcategory

  • dense sub-site

• sub-2-category

  • full sub-2-category

  • locally full sub-2-category

  • reflective sub-2-category

• localizing subcategory

• sub-(∞,1)-category (internal formulation)

  • reflective sub-(∞,1)-category (internal formulation)

  • reflective product-preserving sub-(∞,1)-category (internal formulation)

• thick subcategory (of a triangulated category)

Edit this sidebar