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This article is available for purchase or by subscription. See below.
Abstract
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We show that the semidirect product construction for
–operads and the levelwise Borel
construction for
–cooperads
are intertwined by the topological operadic bar construction. En route we give a
generalization of the bar construction of M Ching from reduced to certain
nonreduced topological operads.
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Keywords
operads, Koszul duality, bar construction, little disks
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Mathematical Subject Classification 2010
Primary: 18D50, 55U30, 57T30
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Publication
Received: 5 February 2018
Revised: 25 October 2018
Accepted: 14 November 2018
Published: 16 August 2019
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