# Gabriel C. Drummond-Cole

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## Registered User

 Name Gabriel C. Drummond-Cole Member for 3 years Seen yesterday Website Location Northwestern Age 32
I am an algebraic topologist doing a postdoc at Northwestern until 2013.
 May6 comment How does Berger-Moerdijk’s relative Boardman-Vogt work?@Ricardo: I don't know. Mar7 accepted Orthogonality between vectors whose components increase Mar7 comment Orthogonality between vectors whose components increaseI 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. Mar7 comment Orthogonality between vectors whose components increaseThere 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. Mar7 revised Orthogonality between vectors whose components increaseadded 19 characters in body Mar7 answered Orthogonality between vectors whose components increase Feb27 accepted How many model categories have the same weak equivalences? Dec13 answered Homotopy Transfer Theorem for Differential Graded Associative Algebras