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arXiv · 2211.00908

Two remarks on spaces of maps between operads of little cubes

Geoffroy Horel·Manuel Krannich·Alexander Kupers
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Abstract

We record two facts on spaces of derived maps between the operads $E_d$ of little $d$-cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the non-unitary versions of $E_d$. Secondly, all endomorphisms of $E_d$ are automorphisms. We also discuss variants for localisations of $E_d$ and for versions with tangential structures.

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Geoffroy Horel, Manuel Krannich, Alexander Kupers. 2022-11-02. Two remarks on spaces of maps between operads of little cubes. https://doi.org/10.21136/hs.2025.07

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