2312.07906Dec 13, 2023Final version, to appear in Algebr. Geom. Topol. The Dold-Kan correspondence for enriched operads (with non-fixed sets of colors) has been removed and will appear in a separate paper. The title has been revised accordingly

Mapping spaces between operads in relation to bimodules

Hoang Truong

Algebraic Topology Category Theory

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Abstract

This paper investigates mapping spaces between enriched operads and relates these spaces to those between operadic bimodules via convenient fiber sequences. The main statements hold for simplicial operads, operads enriched in simplicial modules over a commutative ring, and for connective dg operads, with the last case relying on an operadic version of the Dold-Kan correspondence.

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