Topoi of Music

Guerino Mazzola ()
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Guerino Mazzola: University of Zurich, Department of Information Technology MultiMedia Laboratory

Chapter Chapter 19 in The Topos of Music, 2002, pp 427-437 from Springer

Abstract: Summary 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.

Keywords: Fiber Product; Affine Function; Cohomology Theory; Local Composition; Cochain Complex (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8141-8_19

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DOI: 10.1007/978-3-0348-8141-8_19

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