From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology [PDF]
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
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Uniqueness of the Banach algebra topology for non-archimedean algebras. Special issue on the occasion of the twentieth anniversary of the Mathematics Department [PDF]
Contains fulltext : 18______.PDF (Publisher’s version ) (Open Access)
W.H. Schikhof
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Properads in Algebra, Topology, Geometry and Mathematical Physics
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
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Sergei Merkulov
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J. F. Adams, Algebraic Topology—A Student's Guide (London Mathematical Society Lecture Note Series 4, Cambridge University Press, 1972), vi+300 pp. [PDF]
M. J. Tomkinson
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M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
J. W. Bruce
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D. E. Evans and M. Takesaki Operator algebras and applications, Volume 1: Structure theory; K-theory, geometry and topology; Volume 2: Mathematical physics and subfactors (London Mathematical Society Lecture Note Series 135, 136, Cambridge University Press, Cambridge1988) Vol. 1, viii + 244 pp, paper: 0 521 36843 X, £17.50; Vol. 2, viii + 240 pp, paper: 0 521 36844 8, £17.50. [PDF]
Allan M. Sinclair
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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
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Coequalisers of formal topology [PDF]
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
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