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age  27  
visits  member for  5 years, 4 months 
seen  Apr 1 at 18:37  
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6h

awarded  Famous Question 
Feb 23 
awarded  Good Question 
Jan 23 
accepted  Are Carnot groups (as Carnot Caratheodory metric spaces) doubling? 
Jan 23 
asked  Are Carnot groups (as Carnot Caratheodory metric spaces) doubling? 
Jan 18 
accepted  What are Carnot groups? 
Jan 18 
comment 
What are Carnot groups?
Yes thanks. That's what I was looking for. 
Jan 18 
comment 
What are Carnot groups?
I guess I need an introductory reference with a bunch of examples. 
Jan 18 
asked  What are Carnot groups? 
Sep 9 
awarded  Nice Answer 
Jul 2 
awarded  Curious 
Mar 1 
asked  Finding the lift of a curve under some assumptions 
Feb 26 
awarded  Notable Question 
Jan 21 
accepted  Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.? 
Jan 21 
comment 
Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.?
Thanks again. Yeah, you're absolutely right. 
Jan 20 
comment 
Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.?
Ok, so I think there might be a small problem with your argument. The problem is when you extend $ f $ to the entire set of $ \mathbb{R} $, let's call this extension $ F $, then $ F(t+h) $ is not necessarily equal to $ f(t+h) $ because $ t+h $ is not in $ A $ necessarily. Hence, the estimate $ \frac{\vert f(t+h)f(t)\vert}{\vert h \vert} \leq 2L\epsilon $ doesn't hold. Am I missing something here possibly? 
Jan 18 
comment 
Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.?
And yes, $ \mathcal{H}^1 $ is just the 1dimensional Hausdorff measure on $ \mathbb{R} $ which coincides with the Lebesuge measure on $ \mathbb{R} $. 
Jan 18 
comment 
Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.?
Thanks Nik. I just have a quick question. How did you conclude that $ \frac{\vert f(t+h)  f(t) \vert}{\vert h \vert} \leq L\epsilon $ for all $ \vert h \vert \leq r $? 
Jan 18 
revised 
Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.?
added 174 characters in body; edited title 
Jan 18 
asked  Is the speed of a curve in $ \ell^\infty $ zero a.e. if the derivative of each component is zero a.e.? 
Jan 7 
awarded  Notable Question 