Gabriel C. Drummond-Cole
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Registered User
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I am an algebraic topologist doing a postdoc at Northwestern until 2013.
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May 6 |
comment |
How does Berger-Moerdijk’s relative Boardman-Vogt work? @Ricardo: I don't know. |
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Mar 7 |
accepted | Orthogonality between vectors whose components increase |
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Mar 7 |
comment |
Orthogonality between vectors whose components increase I also added the word "nondecreasing" to $u$, which was critical for the argument in the following paragraph. I didn't say that every vector of the form $av+u$ was nondecreasing for $u$ orthogonal to $v$. I said that every nondecreasing vector was of the form $av+u$ for $u$ orthogonal to $v$. That is true and your example is not a counterexample to that statement. Furthermore, any such $u$ will itself be nondecreasing. I used this fact to claim that $a_1$ and $a_2$ had opposite signs, but inadvertently left it out of the answer. |
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Mar 7 |
comment |
Orthogonality between vectors whose components increase There was a typo in what I wrote, fixed now (I left out the scalar multiple on $v$), but I'm not sure it was the source of your confusion. You can always use orthogonal projection to write a vector $w$ as a sum of a scalar multiple of $v$ and a vector orthogonal to $v$. If $w$ is nondecreasing and you add or subtract any scalar multiple of $v$, you get a nondecreasing vector. |
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Mar 7 |
revised |
Orthogonality between vectors whose components increase added 19 characters in body |
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Mar 7 |
answered | Orthogonality between vectors whose components increase |
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Feb 27 |
accepted | How many model categories have the same weak equivalences? |
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Dec 13 |
answered | Homotopy Transfer Theorem for Differential Graded Associative Algebras |
