A computational review of spectral sequences and applications
ISSN: 1132-6360
Year of publication: 2018
Issue Title: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones
Issue: 43
Pages: 21-24
Type: Article
More publications in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
Abstract
In this work we present some algorithms and programs for computing different types of spectral sequences, a useful tool of Algebraic Topology which has been frequently used in order to compute homology and homotopy groups of spaces. The programs make it possible to determine all components of spectral sequences even when the initial spaces are not of finite type. Moreover, the programs have been applied in other contexts to determine persistent homology, homology of groups, spectral systems and homology of finite topological spaces.