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and the infinity symbols says that associativity is required up to "all" higher homotopies. More generally, there is a weaker notion of An-operad (n ∈ N)...

In the theory of operads in algebra and algebraic topology, an E∞-operad is a parameter space for a multiplication map that is associative and commutative...

algebra over the little interval operad. This is an example of an A ∞ {\displaystyle A_{\infty }} -operad, i.e. an operad of topological spaces which is...

E∞ or E-infinity may refer to: E-infinity ring, a commutative ring construct in homotopy theory E∞-operad, a set of contractible maps that are commutative...

the equivalence between Lurie's model and the dendroidal model for infinity-operads". Advances in Mathematics. 302: 869–1043. arXiv:1305.3658. doi:10.1016/j...

is that A is an algebra in C over the little n-disks operad. An E n {\displaystyle {\mathcal {E}}_{n}} -algebra in vector spaces over a field is a unital...

a homotopy algebra using the theory of operads: that is, a homotopy Lie algebra is an algebra over an operad in the category of chain complexes over...

"Categorification". arXiv:math/9802029. Leinster, Tom (2004). Higher Operads, Higher Categories. Cambridge University Press. arXiv:math.CT/0305049....

21, 1996). "The Pre-History Of Operads". In Loday, Jean-Louis; Stasheff, James D.; Voronov, Alexander A. (eds.). Operads: Proceedings of Renaissance Conferences...

Lectures on n-Categories and Cohomology by John Baez Tom Leinster, Higher operads, higher categories, math.CT/0305049 Simpson, Carlos (2012). Homotopy theory...

(1997), "From operads to 'physically' inspired theories", in Loday, Jean-Louis; Stasheff, James D.; Voronov, Alexander A. (eds.), Operads: Proceedings...

Studies in Ancient Philosophy, XL: 157–188. Weisstein, Eric W., "Super Catalan Number", MathWorld The Hipparchus Operad, The n-Category Café, April 1, 2013...