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Resumen de A computational review of spectral sequences and applications

Ana Romero Ibáñez Árbol académico

  • 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.


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