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Integration of the Kenzo System within SageMath for New Algebraic Topology Computations

Author

Listed:
  • Julián Cuevas-Rozo

    (Department of Mathematics and Computer Science, University of La Rioja, 26006 Logroño, Spain
    Department of Mathematics, National University of Colombia, Bogotá 111321, Colombia)

  • Jose Divasón

    (Department of Mathematics and Computer Science, University of La Rioja, 26006 Logroño, Spain)

  • Miguel Marco-Buzunáriz

    (Department of Mathematics, University of Zaragoza, 50009 Zaragoza, Spain)

  • Ana Romero

    (Department of Mathematics and Computer Science, University of La Rioja, 26006 Logroño, Spain)

Abstract

This work integrates the Kenzo system within Sagemath as an interface and an optional package. Our work makes it possible to communicate both computer algebra programs and it enhances the SageMath system with new capabilities in algebraic topology, such as the computation of homotopy groups and some kind of spectral sequences, dealing in particular with simplicial objects of an infinite nature. The new interface allows computing homotopy groups that were not known before.

Suggested Citation

  • Julián Cuevas-Rozo & Jose Divasón & Miguel Marco-Buzunáriz & Ana Romero, 2021. "Integration of the Kenzo System within SageMath for New Algebraic Topology Computations," Mathematics, MDPI, vol. 9(7), pages 1-24, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:722-:d:524854
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    References listed on IDEAS

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    1. Real, Pedro, 1996. "An algorithm computing homotopy groups," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 461-465.
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