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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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