| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
08 February 2025 |
|
| | | |
|
Article overview
| |
|
Extending homotopy theories from strict maps to lax maps | Nick Gurski
; Niles Johnson
; Angélica M. Osorno
; | Date: |
1 Aug 2015 | Abstract: | Constructions of spaces from symmetric monoidal categories or
$Gamma$-categories are typically functorial with respect to strict
structure-preserving maps, but often the maps of interest are merely lax
monoidal or lax natural. We describe conditions under which one can transport
the weak equivalences from such a category of structured objects and strict
maps to the corresponding category with the same objects and lax maps. Under
mild hypotheses this process produces an equivalence of homotopy theories. We
describe examples including algebras over an operad, such as symmetric monoidal
categories and $n$-fold monoidal categories; and diagram categories, such as
$Gamma$-categories. | Source: | arXiv, 1508.0054 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|