Topoi of Music

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Pages351-359
Number of pages9
DOIs
StatePublished - 2017

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.

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