In mathematics, a full subcategory A of a category B is said to be reflective in B when the inclusion functor from A to B has a left adjoint.: 91  This...

Serre's C-theory. Look up subcategory in Wiktionary, the free dictionary. Reflective subcategory Exact category, a full subcategory closed under extensions...

transformation of a space Reflection formula, a relation in a function Reflective subcategory, in category theory Reflection symmetry, the property of being unchanged...

which is left adjoint to the inclusion functor, so that CRing is a reflective subcategory of Ring. The free commutative ring on a set of generators E is the...

CReg is a reflective subcategory of Top, the category of topological spaces. By taking Kolmogorov quotients, one sees that the subcategory of Tychonoff...

functor Grp → Ab makes the category Ab a reflective subcategory of the category of groups, defined as a full subcategory whose inclusion functor has a left...

\mathbf {C} } . Thus the category of fields (which is a full subcategory) is a reflective subcategory of C {\displaystyle \mathbf {C} } . A multiplicative identity...

naturally homeomorphic. Categorically, Kolmogorov spaces are a reflective subcategory of topological spaces, and the Kolmogorov quotient is the reflector...

Electronics Engineers Reflector, in math, the left adjoint in a reflective subcategory Neutron reflector, in physics .NET Reflector, code browser utility...

coreflective subcategory of abelian groups, while taking the quotient by the torsion subgroup makes torsion-free abelian groups into a reflective subcategory. Torsion...

{A}}} be a Grothendieck category. A full subcategory B {\displaystyle {\mathcal {B}}} is called reflective, if the inclusion functor i : B → A {\displaystyle...

continuous maps as a reflective subcategory of the category of Tychonoff spaces and continuous maps. "Most general" or formally "reflective" means that the...

the inclusion functor I : Ring → Rng. Notice that Ring is not a reflective subcategory of Rng because the inclusion functor is not full. There are several...

more abstract language, the sheaves on X {\displaystyle X} form a reflective subcategory of the presheaves (Mac Lane–Moerdijk Sheaves in Geometry and Logic...

means that β is left adjoint to U. This implies that CHaus is a reflective subcategory of Top with reflector β. If X is a compact Hausdorff space, then...

are inverse concrete isomorphisms over Set. Alx is in fact a bico-reflective subcategory of Top with bico-reflector T◦W : Top→Alx. This means that given...

p-group. Formally, they are kernels of the reflection onto the reflective subcategory of p-groups (respectively, elementary abelian p-groups, abelian...

used to see that every Grothendieck category is complete, being a reflective subcategory of the complete category Mod ⁡ ( R ) {\displaystyle \operatorname...

structures on cubical higher-dimensional transition systems (whose a reflective subcategory is the one of Cattani-Sassone higher-dimensional transition systems)...

principle that one category or class can contain several different subcategories or classes. For example, a four-year-old girl may be shown a picture...

To display all pages, subcategories and images click on the "►": Lists of programming languages‎ (18 P) List of programming languages List of programming...

gender and at the same time with another gender. There are several subcategories of the identity. A demi-boy or demi-man identifies at least partially...

development in behavior or skills. Bloom and his colleagues never created subcategories for skills in the psychomotor domain, but since then other educators...

Mālinīvijayottara Tantra, although they also drew heavily on the Kali-based Krama subcategory of the Kulamārga. Another important text of this tradition is the...

footsteps of eminent scholars who are well-known for their works in this subcategory of Hadith studies, such as Ibn Sallam al-Harawi and Ibn Qutayba; second...

equivalence of categories from LCA to LCAop. The duality interchanges the subcategories of discrete groups and compact groups. If R {\displaystyle R} is a ring...

constitute the major subcategories of the declarative category. This section lists additional examples not in those subcategories. Analytica Ant (combine...

the corner of the homes of the recently deceased and in cemeteries. A subcategory of incantation bowls are those used in Jewish magical practice. Aramaic...

requisite of all Jews before consuming ordinary bread. An important subcategory of the ritual purity laws relates to the segregation of menstruating...

referential questions are subcategories of epistemic questions. Epistemic questions are questions that seek information. Subcategories of it includes display...