2024-03-28T11:19:09Z
https://tsukuba.repo.nii.ac.jp/oai
oai:tsukuba.repo.nii.ac.jp:00020329
2024-03-22T05:07:18Z
117:478
3:2651:2655
Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -
西村, 泰一
ニシムラ, ヒロカズ
NISHIMURA, Hirokazu
open access
In our previous papers [Far East Journal of Mathematical Sciences, 35
(2009), 211-223] and [International Journal of Pure and Applied Mathematics,
60 (2010), 15-24] we have developed the theory of Weil prolongation,
Weil exponentiability and microlinearity for Frölicher spaces. In
this paper we will relativize it so as to obtain the theory of fiber bundles
for Frölicher spaces. It is shown that any Weil functor naturally gives rise
to a fiber bundle. We will see that the category of fiber bundles over a
fixed Frölicher space M and their smooth mappings over M is cartesian
closed. We will see also that the category of vector bundles over M and
their smooth linear mappings over M is cartesian closed. It is also shown
that the tangent bundle functor naturally yields a vector bundle.
2010-09-14
eng
other
http://hdl.handle.net/2241/106401
https://tsukuba.repo.nii.ac.jp/records/20329
http://arxiv.org/abs/1009.2163
1
16
https://tsukuba.repo.nii.ac.jp/record/20329/files/1009.2163v1.pdf
application/pdf
169.2 kB
2013-12-24