T-adjunction

We show that the operator which associates the upper topologyto a pre-order relation can be extended to the morphisms of a subcategory of Top, in such way that it results a functor and it is right adjoint of the respective extension of the operator which associates to each topology its specializatio...

Full description

Autores:
Acosta, Lorenzo
Tipo de recurso:
Article of journal
Fecha de publicación:
2006
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73601
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73601
http://bdigital.unal.edu.co/38077/
Palabra clave:
Specialization order
Alexandrov topology
upper topology
adjoint functor
adjoint function.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:We show that the operator which associates the upper topologyto a pre-order relation can be extended to the morphisms of a subcategory of Top, in such way that it results a functor and it is right adjoint of the respective extension of the operator which associates to each topology its specialization pre-order.