Continuity

Guerino Mazzola, Maria Mannone, Yan Pang

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Pages257-262
Number of pages6
DOIs
StatePublished - 2016

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.

Keywords

  • Module Homomorphism
  • Open Interval
  • Open Neighborhood
  • Topological Space
  • Transformational Relation

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