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Fundamental Concepts and Associated Categories

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The Topos of Music III: Gestures

Part of the book series: Computational Music Science ((CMS))

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Summary

This chapter introduces the definition, some basic propositions and first examples regarding the mathematical concept of a gesture for topological spaces. It also includes a short discussion of the topostheoretic logic that is implied by the topos of directed graphs.

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Authors and Affiliations

  1. School of Music, University of Minnesota, Minneapolis, MN, USA

    Guerino Mazzola, Alex Lubet, Maria Mannone & Matt Rahaim

  2. Institut de Mathématiques de Jussieu, Université Diderot Paris 7, Paris, France

    René Guitart

  3. Department of Music, UCLA Herb Alpert School of Music, Los Angeles, CA, USA

    Jocelyn Ho

  4. School of Electronic Engineering and Computer Science, Queen Mary University of London, London, UK

    Florian Thalmann

Authors
  1. Guerino Mazzola
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  2. René Guitart
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  3. Jocelyn Ho
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  4. Alex Lubet
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  5. Maria Mannone
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  6. Matt Rahaim
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  7. Florian Thalmann
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Cite this chapter

Mazzola, G. et al. (2017). Fundamental Concepts and Associated Categories. In: The Topos of Music III: Gestures. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-64481-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-64481-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64479-0

  • Online ISBN: 978-3-319-64481-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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