论文标题

小立方体作业之间的地图空间的两个言论

Two remarks on spaces of maps between operads of little cubes

论文作者

Horel, Geoffroy, Krannich, Manuel, Kupers, Alexander

论文摘要

我们在小$ d $ -ICUBES $ e_d $之间的派生地图空间上记录了两个事实。首先,这些映射空间等同于$ e_d $的非自动版本之间的映射空间。其次,$ e_d $的所有内态都是自动形态。我们还讨论了$ e_d $的本地化以及具有切向结构的版本的变体。

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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