The Geometry of Iterated Loop Spaces

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Iterated wreath product of the simplex category and iterated loop spaces (2005, background): “The number of (n + d)-dimensional cells of the resulting CWcomplex of type K(Z/2Z, n) is a generalised Fibonacci number.”
Operads, algebras, modules and motives (2018, background): “We therefore have an adjunction S M f k (LX ; Y ) = D(X ; RY ): (2.3) Informally, given any type of algebraic structure that is deened in terms of maps A j !”
Gröbner–Shirshov bases and their calculation (2013, background): “Lambek (1969) [146] and May (1972) [162].”
Double loop spaces, braided monoidal categories and algebraic 3-type of space (2007, background): “May's theory of E n -operads 33],,12], it suuces to construct an action of a simplicial E 2 -operad upon the nerve of a braided monoidal category , which then implies the existence of a double delooping of its geometric realization.”
The cartesian closed bicategory of generalised species of structures (2008, background): “Indeed, the monoids for this substitution monoidal structure are the symmetric set-operads of May [34].”
Combinatorial models for real configuration spaces and En-operads (2006, methodology): “We completely left out the application of E n -operads to n-fold iterated loop spaces and refer the interested reader to [15], [8], [5].”