| Title:
|
Two remarks on spaces of maps between operads of little cubes (English) |
| Author:
|
Krannich, Manuel |
| Author:
|
Horel, Geoffroy |
| Author:
|
Kupers, Alexander |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
9 |
| Issue:
|
1 |
| Year:
|
2025 |
| Pages:
|
329-339 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Maps of operads |
| Keyword:
|
$\infty$-operads |
| Keyword:
|
operad of little cubes |
| Keyword:
|
operad of little discs |
| MSC:
|
18N70 |
| MSC:
|
55P48 |
| MSC:
|
55R80 |
| MSC:
|
58D10 |
| idZBL:
|
Zbl 08141788 |
| idMR:
|
MR4918790 |
| DOI:
|
10.21136/HS.2025.07 |
| . |
| Date available:
|
2026-03-13T14:20:33Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153488 |
| . |
| Reference:
|
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