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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeJan 3rd 2014
   • (edited Jan 3rd 2014)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI have created [[dual basis]] in the natural generality of [[projective module]]s. The corresponding redirects removed from [[dual vector space]] entry whose dual basis definition is absorbed in a remark here (without changes to the original).

   I have created dual basis in the natural generality of projective modules. The corresponding redirects removed from dual vector space entry whose dual basis definition is absorbed in a remark here (without changes to the original).

2. • CommentRowNumber2.
   • CommentAuthornLab edit announcer
   • CommentTimeMar 6th 2019
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   Author: nLab edit announcer
   Format: MarkdownItexThe sentence "In particular, $x_i^*(x_j) = \delta_i^j$ (Kronecker delta)" is incorrect: there may be relations between the $x_j$'s, e.g. $x_2=3x_1$, then apply $x_2^*$ to the two sides we will get $1=3\cdot 0=0$, impossible. Peng DU <a href="https://ncatlab.org/nlab/revision/diff/dual+basis/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/dual+basis/5">v5</a>, <a href="https://ncatlab.org/nlab/show/dual+basis">current</a>

   The sentence “In particular, $x_i^*(x_j) = \delta_i^j$ (Kronecker delta)” is incorrect: there may be relations between the $x_j$’s, e.g. $x_2=3x_1$, then apply $x_2^*$ to the two sides we will get $1=3\cdot 0=0$, impossible.

   Peng DU

   diff, v5, current

3. • CommentRowNumber3.
   • CommentAuthorMichael_Bachtold
   • CommentTimeMar 6th 2019
   • PermaLink
   Author: Michael_Bachtold
   Format: MarkdownItexFixed a small typo and added a sentence. <a href="https://ncatlab.org/nlab/revision/diff/dual+basis/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/dual+basis/6">v6</a>, <a href="https://ncatlab.org/nlab/show/dual+basis">current</a>

   Fixed a small typo and added a sentence.

   diff, v6, current

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeMar 7th 2019
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   Author: Todd_Trimble
   Format: MarkdownItexWell, that's not the only thing wrong in the paragraph mentioned by Deng PU. I'll have a look later to see what can be salvaged.

   Well, that’s not the only thing wrong in the paragraph mentioned by Deng PU. I’ll have a look later to see what can be salvaged.