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Abstract
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We prove that the homotopy theory of
operads is equivalent to a homotopy theory of discrete operads, and we construct free
and associative operadic realizations of every indexing system. This resolves a
conjecture of Blumberg and Hill in the affirmative.
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Keywords
operad, $N$ operad, $N_\infty$ operad, equivariant,
indexing system
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Mathematical Subject Classification
Primary: 55P91
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Publication
Received: 23 April 2020
Revised: 17 December 2020
Accepted: 25 January 2021
Published: 28 December 2021
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