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From Wikipedia, the free encyclopedia

In mathematics, an -algebra in a symmetric monoidal infinity category C consists of the following data:

  • An object for any open subset U of Rn homeomorphic to an n-disk.
  • A multiplication map:
for any disjoint open disks contained in some open disk V

subject to the requirements that the multiplication maps are compatible with composition, and that is an equivalence if . An equivalent definition is that A is an algebra in C over the little n-disks operad.

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  • Abstract Algebra: The definition of a Ring
  • A Maths Puzzle: Euler Trail and Solution
  • The Banach–Tarski Paradox



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This page was last edited on 19 May 2023, at 10:22
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