| Title:
|
Natural weak factorization systems (English) |
| Author:
|
Grandis, Marco |
| Author:
|
Tholen, Walter |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
397-408 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In order to facilitate a natural choice for morphisms created by the (left or right) lifting property as used in the definition of weak factorization systems, the notion of natural weak factorization system in the category $\mathcal {K}$ is introduced, as a pair (comonad, monad) over $\mathcal {K}^{\bf 2}$. The link with existing notions in terms of morphism classes is given via the respective Eilenberg–Moore categories. (English) |
| MSC:
|
18C15 |
| idZBL:
|
Zbl 1164.18300 |
| idMR:
|
MR2283020 |
| . |
| Date available:
|
2008-06-06T22:48:54Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108015 |
| . |
| 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:
|
[7] Korostenski M., Tholen W.: Factorization systems as Eilenberg–Moore algebras.J. Pure Appl. Algebra 85 (1993), 57–72. Zbl 0778.18001, MR 1207068 |
| Reference:
|
[8] Rosický J., Tholen W.: Lax factorization algebras.J. Pure Appl. Algebra 175 (2002), 355–382. Zbl 1013.18001, MR 1935984 |
| Reference:
|
[9] Rosický J., Tholen W.: Factorization, fibration and torsion.preprint (York University 2006). Zbl 1184.18009, MR 2369170 |
| Reference:
|
[10] Rosebrugh R., Wood R. J.: Coherence for factorization algebras.Theory Appl. Categories 10 (2002), 134–147. Zbl 0994.18001, MR 1883483 |
| . |
