The limit group as a Hopf algebra
DOI:
https://doi.org/10.15381/pesquimat.v26i1.24815Keywords:
H-space, Bockstein spectral sequence, exact pairs, chain complexes, chain complexes, Homology of complex Hopf algebrasAbstract
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.
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Copyright (c) 2023 Wilfredo Mendoza Quispe, Sofia Irena Duran Quiñones, Gabriel Andre Asmat Medina
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