If you have such a basis, you also have a subspace of co-dimension 1, and this turns out to be a Vitali set, that is quite a non-constrctible non-constructible object. For details, e.g. check this answer and this.
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If you have such a basis, you also have a subspace of co-dimension 1, and this turns out to be a Vitali set, that is quite a non-constrctible object. For details, e.g. chek check this answer and this. http://mathoverflow.net/questions/23202/explicit-big-linearly-independent-sets/23206#23206 |
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If you have such a basis, you also have a subspace of co-dimension 1, and this turns out to be a Vitali set, that is quite a non-constrctible object. For details, e.g. chek this answer and this. http://mathoverflow.net/questions/23202/explicit-big-linearly-independent-sets/23206#23206 |
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