Convergence semigroup categories

[EN] Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A “generalized quotient” of each object is defined without making the usual assumption that for eac...

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Detalles Bibliográficos
Autores: Richardson, Gary, Mikusinski, Piotr, Boustique, H.
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/86836
Acceso en línea:https://riunet.upv.es/handle/10251/86836
Access Level:acceso abierto
Palabra clave:Convergence space
Convergence semigroup
Continuous action
Categorical properties
Descripción
Sumario:[EN] Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A “generalized quotient” of each object is defined without making the usual assumption that for each fixed g ∈ S, λ(., g) : X → X is an injection.