The limit group as a Hopf algebra

• Autores: Mendoza Quispe, Wilfredo, Duran Quiñones, Sofia Irena, Asmat Medina, Gabriel Andre
• Formato: artículo
• Fecha de Publicación: 2023
• Institución: Universidad Nacional Mayor de San Marcos
• Repositorio: Revistas - Universidad Nacional Mayor de San Marcos
• Lenguaje: español
• OAI Identifier: oai:ojs.csi.unmsm:article/24815
• Enlace del recurso: https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24815
• Nivel de acceso: acceso abierto
• Materia: H-espacio; sucesión espectral de Bockstein; parejas exactas; complejos de cadenas; Homología de complejo algebras de Hopf; H-space; Bockstein spectral sequence; exact pairs; chain complexes; Homology of complex Hopf algebras

In this work we will preliminarily present the definition of H-spaces, followed by them we will study the Bockstein spectral sequence that together with the exact pairs will allow us to define the so-called limit group associated with each spectral sequence. We also review the properties of string complexes and the complex homology of an elementary string. In the last section we present the spectral Bockstein sequence for H-spaces and Hopf algebras. In this context we prove that the limit group can be expressed isomorphically as a Hopf algebra.