A generalization of effective Serre spectral systems for m-multicomplexes

  1. Miguel, Daniel 1
  2. Andrea Guidolin 1
  3. Ana Romero 1
  4. Julio Rubio 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Libro:
EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones
  1. Galindo Pastor, Carlos (coord.)
  2. Gimenez, Philippe (coord.)
  3. Hernando Carrillo, Fernando (coord.)
  4. Monserrat Delpalillo, Francisco José (coord.)
  5. Moyano-Fernández, Julio José (coord.)

Editorial: Servei de Comunicació i Publicacions ; Universitat Jaume I

ISBN: 978-84-19647-46-7

Año de publicación: 2023

Páginas: 123-126

Congreso: Encuentro de Álgebra Computacional y Aplicaciones (17. 2022. Castelló de la Plana)

Tipo: Aportación congreso

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Resumen

In a previous study, we gave an algorithm to construct a spectral system from a tower of fibrations of simplicial sets, which encompasses all the information provided by the successive Serre spectral sequences of each fibration. The spectral system was builtover generalized multicomplexes that come from the associated chain complexes of the simplicial sets. In this work we show that a similar spectral system can be constructed over a broader class of multicomplexes, and that we have effective homology for it.

Fuente de los datos: Dialnet