network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 9 months |
| seen | Sep 5 '12 at 8:10 | |
| stats | profile views | 11 |
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Aug 27 |
comment |
When are the limit operations commutative? It might help if you could be more specific about what sorts of limits you're talking about. |
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Aug 25 |
answered | Continuity of function $\lim_{t \rightarrow x} f(t)$ |
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Aug 25 |
answered | why the last step of proof by induction is necessary? |
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Aug 24 |
awarded | Teacher |
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Aug 24 |
answered | topology - analysis Book |
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Aug 21 |
comment |
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ Thanks LVK I'll have a look at that answer. The mathforum thread does not provide a full proof but (I believe) I was able to trivially verify smoothness, bijectivity, and nonsingularity of the function $x \mapsto x \int_0^1 \frac{dt}{f(xt)}$ |
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Aug 20 |
comment |
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ Thanks t.b. A little more googling turned up this mathforum.org/kb/… which to my amazement seems to be an extremely elementary proof of the statement. I feel like I must be missing something. |
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Aug 20 |
comment |
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ Thanks again. It will take me a bit to digest this. |
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Aug 20 |
comment |
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ Thanks, LVK. Yeah that was something that led me to believe that the proof was long and complicated which makes me puzzled by the fact that it was assigned as a homework problem (albeit for extra credit and at Columbia) |
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Aug 20 |
awarded | Editor |
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Aug 20 |
awarded | Student |
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Aug 20 |
revised |
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ edited title |
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Aug 20 |
asked | A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$ |
