| Title:
|
Gray tensor product and saturated $N$-complicial sets (English) |
| Author:
|
Ozornova, Viktoriya |
| Author:
|
Rovelli, Martina |
| Author:
|
Verity, Dominic |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
7 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
1-21 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated N-complicial sets (which are a proposed model of $(\infty,n)$-categories), in the form of a Quillen bifunctor and a homotopical bifunctor, respectively. (English) |
| Keyword:
|
Gray tensor product |
| Keyword:
|
saturated $n$-complicial set |
| Keyword:
|
$(\infty,n)$-category |
| MSC:
|
18D05 |
| MSC:
|
18G30 |
| MSC:
|
55U10 |
| MSC:
|
55U35 |
| idZBL:
|
Zbl 1533.55024 |
| idMR:
|
MR4600455 |
| DOI:
|
10.21136/HS.2023.01 |
| . |
| Date available:
|
2026-03-13T10:04:59Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153456 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
