Topoi of Music

Guerino Mazzola

doi:10.1007/978-3-319-64364-9_19

Topoi of Music

Guerino Mazzola

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This chapter is a conceptual synthesis of the previous achievements. We show that the overall structure of the category Glob of global compositions carries a Grothendieck pretopology via finite covering families. It is well known that such a pretopology generates a Grothendieck topology J and therefore a Lawvere{Tierny topology j on the presheaf topos Glob@. We discuss the associated instances, such as the subobject classifier sheaf Ω, and the subtopos Sh(J; Glob) of sheaves.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	351-359
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-319-64364-9_19
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

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© 2017, Springer International Publishing AG, part of Springer Nature.

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10.1007/978-3-319-64364-9_19

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Topoi of Music

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