Despite the rich algebraic formalism of monoids, groups, rings, and modules, we lack a type of analysis that does not compare objects by their transformational relations, such as symmetries or module homomorphisms, but by their similarity—referring to the paradigm of deformation. This type of relationship is what topology, the mathematics of continuity, is about.
CITATION STYLE
Mazzola, G., Mannone, M., & Pang, Y. (2016). Continuity. In Computational Music Science (pp. 257–262). Springer Nature. https://doi.org/10.1007/978-3-319-42937-3_30
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