@misc{oai:tsukuba.repo.nii.ac.jp:00020329,
 author = {西村, 泰一 and NISHIMURA, Hirokazu},
 month = {Sep},
 note = {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.},
 title = {Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -},
 year = {2010},
 yomi = {ニシムラ, ヒロカズ}
}