Academic Journal
COBORDISMS OF FOLD MAPS AND MAPS WITH PRESCRIBED NUMBER OF CUSPS
| العنوان: | COBORDISMS OF FOLD MAPS AND MAPS WITH PRESCRIBED NUMBER OF CUSPS |
|---|---|
| المؤلفون: | Tobias Ekholm, András Szűcs, Tamás Terpai |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/math/0701433v1.pdf. |
| سنة النشر: | 2007 |
| المجموعة: | CiteSeerX |
| الوصف: | A generic smooth map of a closed 2k-manifold into (3k −1)-space has a finite number of cusps (Σ 1,1-singularities). We determine the possible numbers of cusps of such maps. A fold map is a map with singular set consisting of only fold singularities (Σ 1,0-singularities). Two fold maps are fold bordant if there are cobordisms between their sourceand target manifolds with a fold map extending the two maps between the boundaries, if the two targets agree and the target cobordism can be taken as a product with a unit interval then the maps are fold cobordant. We compute the cobordism groups of fold maps of (2k − 1)-manifolds into (3k − 2)-space. Analogous cobordism semi-groups for arbitrary closed (3k − 2)-dimensional target manifolds are endowed with Abelian group structures and described. Fold bordism groups in the same dimensions are described as well. 1. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.1543; http://arxiv.org/pdf/math/0701433v1.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.1543 http://arxiv.org/pdf/math/0701433v1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.B89495FE |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |