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Algorithm 40 An algorithm for the integral homology of certain topological groups

Algorithmus 40. Ein Algorithmus für die Homologie gewisser topologischer Gruppen

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Abstract

We describe an algorithm which enables us to compute the homology of Ω(X 1 ⋎X 2) in terms of the homologies of ΩX 1 and ΩX 2 (where ΩX is the loop space ofX). A computer program implementing this algorithm is then presented.

Zusammenfassung

Wir beschreiben einen Algorithmus, der die Homologie von Ω(X 1 ⋎X 2) durch die Homologien von ΩX 1 und ΩX 2 ausdrückt (ΩX ist der Loopraum vonX). Eine Pascal-Implementierung des Algorithmus wird vorgestellt.

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Authors and Affiliations

  1. Institute of Mathematics, Hebrew University, Jerusalem, Israel

    E. P. Glinert

  2. Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

    E. Katz

Authors
  1. E. P. Glinert
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  2. E. Katz
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Glinert, E.P., Katz, E. Algorithm 40 An algorithm for the integral homology of certain topological groups. Computing 23, 381–391 (1979). https://doi.org/10.1007/BF02254866

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  • DOI: https://doi.org/10.1007/BF02254866

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