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Hokkaido University Preprint Series in Mathematics >
Transversal topology and singularities of Haefliger foliations
| Title: | Transversal topology and singularities of Haefliger foliations |
| Authors: | Izumiya, S. Browse this author | | Maruyama, K. Browse this author |
| Keywords: | Whitney topology | | Haefliger foliations | | singularities | | transversality |
| Issue Date: | 1-Jan-2001 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 513 |
| Start Page: | 1 |
| End Page: | 8 |
| Abstract: | In order to study singularities of Haefliger foliation, we define the notion of transversally Whitney C∞-topology modulo a regular foliation on the set of C∞-mappings into a foliated manifold. We prove a kind of transversaHty theorem with respect to this new topology. All arguments we use here are analogous to those· of the theory for the ordinary Whitney C∞-topology. However, this is the first attempt for the study of generic properties of Haefliger foliations |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69263 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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