| Title:
|
Cyclic duality for slice and orbit 2-categories (English) |
| Author:
|
Boiquaye, John |
| Author:
|
Joram, Philipp |
| Author:
|
Krähmer, Ulrich |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
136-162 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The self-duality of the paracyclic category is extended to the homotopy categories of a certain class of (2,1)-categories. These generalise the orbit category of a group and are associated to suitable self-dual preorders equipped with a presheaf of groups and a cosieve. The slice 2-category of equidimensional submanifolds of a compact manifold without boundary is a particular case, and for $S^1$, one recovers cyclic duality. This provides in particular a visualisation of the results of Böhm and Ştefan on the topic. (English) |
| Keyword:
|
Cyclic category |
| Keyword:
|
duplicial category |
| Keyword:
|
orbit category |
| Keyword:
|
2-group |
| Keyword:
|
crossed module |
| Keyword:
|
slice 2-category |
| MSC:
|
18G45 |
| MSC:
|
18N50 |
| MSC:
|
19D55 |
| idZBL:
|
Zbl 1565.18045 |
| idMR:
|
MR4835388 |
| DOI:
|
10.21136/HS.2024.09 |
| . |
| Date available:
|
2026-03-13T14:33:53Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153474 |
| . |
| Reference:
|
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