Partitions of groups and matroids into independent subsets
Can the set \(\mathbb{R}\setminus\{0\}\) be covered by countably many linearly (algebraically) independent subsets over the field \(\mathbb{Q}\)? We use a matroid approach to show that an answer is ``Yes'' under the Continuum Hypothesis, and ``No'' under its negation.
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/637 |
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