Parenthetic remarks

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Abstract

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.

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Street, R. (2012). Parenthetic remarks. In Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 251–268). Springer Basel. https://doi.org/10.1007/978-3-0348-0405-9_12

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