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From operads to dendroidal sets

Weiss, Ittay (2011) From operads to dendroidal sets. In: Mathematical Foundations of Quantum Field Theory and Perturbative String Theory. American Mathematical Society, Providence, Rhode Island, pp. 31-70. ISBN 0821851950

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Dendroidal sets offer a formalism for the study of $\infty$-operads akin to the formalism of $\infty$-categories by means of simplicial sets. We present here an account of the current state of the theory while placing it in the context of the ideas that lead to the conception of dendroidal sets. We briefly illustrate how the added flexibility embodied in $\infty$-operads can be used in the study of $A_{\infty}$-spaces and weak $n$-categories in a way that cannot be realized using strict operads.

Item Type: Book Chapter
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User: Ms Shalni Sanjana
Date Deposited: 25 Jun 2011 07:50
Last Modified: 11 Mar 2013 22:18

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