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From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology [PDF]

open access: green, 2018
Despite a long historical relationship between mathematics and music, the interest of mathematicians is a recent phenomenon. In contrast to statistical methods and signal-based approaches currently employed in MIR (Music Information Research), the research project described in this paper stresses the necessity of introducing a structural ...
Moreno Andreatta
openaire   +4 more sources

Properads in Algebra, Topology, Geometry and Mathematical Physics

open access: green, 2009
Ce mémoire contient un résumé de mes travaux sur le thème des propérades et de leurs applications en algèbre, topologie, géométrie et physique mathématique.
Bruno Vallette
openaire   +3 more sources

Fusion systems [PDF]

open access: yes, 2016
This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
core   +1 more source

Coequalisers of formal topology [PDF]

open access: yes, 2006
We give a predicative construction of quotients of formal topologies. Along with earlier results on the match up between of continuous functions on real numbers (in the sense of Bishop\u27s constructive mathematics) and approximable mappings on the ...
Palmgren, Erik
core   +1 more source

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