On the topological characterization of gestures in a convenient category of spaces

DOI10.1080/17459737.2020.1716403zbMath1469.00013OpenAlexW3005606592MaRDI QIDQ5152276

Timothy L. Clark

Publication date: 17 September 2021

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459737.2020.1716403

zbMATH Keywords

categorytopologymapping spaceCW complexadjoint functorgesturehypergesture

Mathematics Subject Classification ID

Categorical logic, topoi (03G30) Topoi (18B25) Representations of quivers and partially ordered sets (16G20) Mathematics and music (00A65)

Related Items

Some mathematical and computational relations between timbre and color

Cites Work

• Sheaves in geometry and logic: a first introduction to topos theory
• The space of loops on configuration spaces and the Majer-Terracini index
• Abstract gestures: a unifying concept in mathematical music theory
• The topos of music III: gestures. Musical multiverse ontologies
• Algebraic topology of finite topological spaces and applications
• Topological complexity of a map
• A convenient category of topological spaces
• A type theory for synthetic $\infty$-categories
• Categorical gestures, the diamond conjecture, Lewin's question, and the Hammerklavier Sonata
• Adjoint Functors
• Introduction to gestural similarity in music. An application of category theory to the orchestra
• Spaces of gestures are function spaces
• Higher Topos Theory (AM-170)
• Introduction to homotopy theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item