Kan fibrations which are homomorphisms of simplicial groups

In [3] C. Ruiz  gave a definition for "fibration" on the category Annb of Banach rings which is closely related to a functorGR : Annb→△ Gr which takes its values on the category of the simplicial groups. It was assumed that the fibration / of Annb  are the Banach ring homomorphisms such th...

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Autores:
Ruiz Salguero, Carlos Javier
Ruiz, Roberto
Tipo de recurso:
Article of journal
Fecha de publicación:
1973
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42271
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42271
http://bdigital.unal.edu.co/32368/
Palabra clave:
Fibration
Banach rings
ring homomorphisms
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In [3] C. Ruiz  gave a definition for "fibration" on the category Annb of Banach rings which is closely related to a functorGR : Annb→△ Gr which takes its values on the category of the simplicial groups. It was assumed that the fibration / of Annb  are the Banach ring homomorphisms such that the homomorphisms   GR(f) of simplicial groups, are Kan fibrations. This notion happened to be equivalent (Cf. [3; p. 169]) to the notion of Serre fibration given by KAROUBI and  VILLAMAYOR [4].