| Title:
|
Product preserving bundle functors on fibered manifolds (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
307-316 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given. (English) |
| Keyword:
|
product preserving bundle functors |
| Keyword:
|
natural transformations |
| MSC:
|
18F15 |
| MSC:
|
58A05 |
| idZBL:
|
Zbl 0881.58002 |
| idMR:
|
MR1441401 |
| . |
| Date available:
|
2008-06-06T21:31:38Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107583 |
| . |
| Reference:
|
[1] D.J. Eck: Product preserving functors on smooth manifolds.J. Pure and Applied Algebra 42(1986), 133-140. Zbl 0615.57019, MR 0857563 |
| Reference:
|
[2] G. Kainz, P.W. Michor: Natural transformations in differential geometry.Czechoslovak Math. J. 37(1987), 584-607. MR 0913992 |
| Reference:
|
[3] I. Kolář, P. W. Michor, J. Slovák: Natural Operations in Differential Geometry.Springer-Verlag, Berlin 1993. MR 1202431 |
| Reference:
|
[4] O.O. Luciano: Categories of multiplicative functors and Weil’s infinitely near points.Nagoya Math. J. 109(1988), 69-89. Zbl 0661.58007, MR 0931952 |
| Reference:
|
[5] A. Morimoto: Prolongations of connections to bundles of infinitely near points.J. Diff. Geo. 11(1976), 479-498. MR 0445422 |
| Reference:
|
[6] A. Weil: Théorie des points proches sur les varietes differentielles.Strasbourg 1953, 111-117. MR 0061455 |
| . |
