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Что (кто) такое autonomous subcategory - определение
FULL SUBCATEGORY WHOSE INCLUSION FUNCTOR HAS A LEFT ADJOINT
Coreflective subcategory
Isomorphism-closed subcategory
A SUBCATEGORY THAT DOES NOT DISCRIMINATE BETWEEN ISOMORPHIC OBJECTS IN THE SUPERCATEGORY
Isomorphism-closed; Replete subcategory
In category theory, a branch of mathematics, a subcategory \mathcal{A} of a category \mathcal{B} is said to be isomorphism closed or replete if every \mathcal{B}-isomorphism h:A\to B with A\in\mathcal{A} belongs to \mathcal{A}. This implies that both B and h^{-1}:B\to A belong to \mathcal{A} as well.
Autonomous administrative division
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REGION WITH SOME FREEDOM FROM ITS CENTRAL GOVERNMENT
Autonomous region; Autonomous Region; Autonomous regions; Autonomous entities; Autonomous entity; Autonomous territories; Territorial Autonomy; Autonomous state; Autonomous area; Autonomous sector; Autonomous territory; Autonomous states; Autonomous administrative divisions
An autonomous administrative division (also referred to as an autonomous area, entity, unit, region, subdivision, or territory) is a subnational administrative division or internal territory of a sovereign state that has a degree of autonomy—self-governance—under the national government. Autonomous areas are distinct from the constituent units of a federation (e.
Autonomous oblast
ADMINISTRATIVE DIVISION (AUTONOMOUS ENTITY) IN RUSSIA, TAJIKISTAN AND FORMERLY IN THE SOVIET UNION
Autonomous oblasts; Autonomous Oblast; Region (Oblast)
An autonomous oblast is an autonomous entity within the state which is on the oblast (province) level of the overall administrative subdivision. It may refer to:
Википедия
Reflective subcategory
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 adjoint is sometimes called a reflector, or localization. Dually, A is said to be coreflective in B when the inclusion functor has a right adjoint.
Informally, a reflector acts as a kind of completion operation. It adds in any "missing" pieces of the structure in such a way that reflecting it again has no further effect.
