تقرير
Some classical analysis results for continuous definable mappings
| العنوان: | Some classical analysis results for continuous definable mappings |
|---|---|
| المؤلفون: | Truong, Xuan Duc Ha, Pham, Tien Son |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 49J52 (Primary) 03C64, 26B10, 55M25 (Secondary) |
| الوصف: | In this paper, we show that some fundamental results for smooth mappings (e.g., the Brouwer degree formula, the implicit function and inverse function theorems, the mean value theorem, Sard's theorem, Hadamard's global invertibility criteria, Pourciau's surjectivity and openness results) have natural extensions for continuous mappings that are definable in o-minimal structures. The arguments rely on nice properties of definable mappings and sets. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2105.11652 |
| رقم الأكسشن: | edsarx.2105.11652 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |