@article{oai:tsukuba.repo.nii.ac.jp:00016783,
 author = {西村, 泰一 and Nishimura, Hirokazu},
 issue = {2},
 journal = {Beiträge zur Algebra und Geometrie},
 month = {},
 note = {application/pdf, In our previous papers (Nishimura [2001 and 2003]) we dealt with jet bundles from a synthetic perch by regarding a 1-jet as something like a pinpointed (nonlinear) connection (called a preconnection) and then looking on higher-order jets as repeated 1-jets. In this paper we generalize our notion of preconnection to higher orders, which enables us to develop a non-repetitive but still synthetic approach to jet bundles. Both our repetitive and non-repetitive approaches are coordinate-free and applicable to microlinear spaces in general. In our non-repetitive approach we can establish a theorem claiming that the $(n+1)$-th jet space is an affine bundle over the $n$-th jet space, while we have not been able to do so in our previous repetitive approach. We will show how to translate repeated 1-jets into higher-order preconnections. Finally we will demonstrate that our repetitive and non-repetitive approaches to jet bundles tally, as far as formal manifolds are concerned.},
 pages = {677--696},
 title = {Higher-Order Preconnections in Synthetic Differential Geometry of Jet Bundles},
 volume = {45},
 year = {2004}
}