Epireflective subcategories and formal closure operators
zbMath1397.18007arXiv1605.08627MaRDI QIDQ2981747
Marino Gran, Mathieu Duckerts-Antoine, Zurab Janelidze
Publication date: 10 May 2017
Full work available at URL: https://arxiv.org/abs/1605.08627
reflectionepireflective subcategoryclosure operatorregular categorysubobjectminimal operatorquotientreflective subcategorynormal categoryepimorphismmonomorphismformcategory of epimorphismspointed endofunctorCartesian liftingcategory of monomorphismscategory of morphismscodomain functorcohereditary operatordomain functor
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Fibered categories (18D30) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) Quasivarieties (08C15) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A description of the fundamental group in terms of commutators and closure operators
- Fundamental group functors in descent-exact homological categories
- Categorical neighborhood operators
- Closure operators and their middle-interchange law
- Cover relations on categories
- Torsion theories in homological categories
- Torsion theories and radicals in normal categories
- Relative commutator theory in varieties of \(\Omega\)-groups
- Protolocalisations of homological categories
- Closure operators. I
- Galois theory and a general notion of central extension
- On the form of subobjects in semi-abelian and regular protomodular categories
- Closedness properties of internal relations. V: Linear Mal'tsev conditions
- Dual closure operators and their applications
- Exact categories and categories of sheaves
- Interior Operators in General Categories
- On factorization systems for surjective quandle homomorphisms
- On closure operators and reflections in Goursat categories
- Semi-abelian categories
This page was built for publication: Epireflective subcategories and formal closure operators