Parenthetic Remarks

  • Ross StreetEmail author
Part of the Progress in Mathematics book series (PM, volume 299)


The Tamari lattice provides an example of a (non-symmetric) operad. We discuss such operads and their associated monads and monoidal categories. Freeness is an important aspect. The free structures are described in various ways using wellformed words (in the spirit of some of Tamari’s papers), using string diagrams leading to forests, and in terms of rewrite rules.


Monoidal Category Left Adjoint Monoidal Structure Monoidal Functor Polynomial Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Basel 2012

Authors and Affiliations

  1. 1.Centre of Australian Category TheoryMacquarie UniversityMacquarieAustralia

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