bio  website  people.math.osu.edu/edgar.2 

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visits  member for  5 years, 8 months 
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2d

comment 
How to explain the concentrationofmeasure phenomenon intuitively?
Dimension higher than $3$ is perplexing, that's true. Especially dimension $d \to \infty$ as in this case... 
Jun 24 
comment 
Approximation of general measurable maps by simple functions
For $Y$ a topological space, the answer is "no" in general. This is the wrong forum for the question, though. 
Jun 24 
comment 
Approximation of general measurable maps by simple functions
What is $Y$? You need some sort of convergence in $Y$ for the question even to make sense. Do you want an "order" convergence as you wrote in the realvalued case? 
Jun 19 
comment 
Bitwise operation of two square roots
So we ask about the "Nim sum" of $\sqrt{2}$ and $\sqrt{3}$: addition without carry in mod 2. 
Jun 18 
comment 
Space of continuous realvalued functions on $[0,1]^\omega$ with the weak and pointwise topology
Isomorphic as vector spaces, yes. But not as topological vector spaces. Martin is correct: the method used for $C[0,1]$ also works for this. More generally, try proving it for $C(K)$, where $K$ is an infinite compact metric space. 
Jun 9 
awarded  referencerequest 
Jun 7 
comment 
First mean value theorem for integration and Lebesgue measureability
NonLebesgue measurable, no. Discontinuous, yes. 
Jun 4 
answered  What are some examples of noncommutative $\mathbb{Q}$monoids and/or $\mathbb{R}$monoids? 
May 31 
comment 
Is this a rational function?
So remark 2 is even stronger than the question: this function is not algebraic 
May 26 
awarded  Nice Answer 
May 25 
comment 
Do nonnormal states exist in the Solovay model?
And, for example, does a nonseparable Hilbert space even have an orthonormal basis ... for that I would apply Zorn's Lemma. 
May 25 
comment 
Do nonnormal states exist in the Solovay model?
Are you claiming Gleason's theorem works without choice? 
May 25 
comment 
A book for problems in Functional Analysis
I looked for books at Amazon, and found that "functional analysis" is a topic in psychology, with more books than the samename topic in mathematics... 
May 25 
comment 
Do nonnormal states exist in the Solovay model?
Perhaps we need a definition or reference for: state, normal state. 
May 22 
answered  Slightly weakened / altered concepts of a field 
May 21 
comment 
Differential Topology over $\mathbb{Q}$
For example, an uncountable disjoint union of copies of $\mathbb Q^n$. So the requirement may as well be that the whole space is countable (as Simon assumes). 
May 21 
comment 
Differential Topology over $\mathbb{Q}$
Also, we need a definition of "rational manifold". Without paracompactness you could have some sort of "long line" not of the same cardinal as the "short line" $\mathbb Q$. 
May 21 
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Differential Topology over $\mathbb{Q}$
So "differentiable" means differentiable at each point of the domain? So the differential may vary from point to point? And need not depend continuously on the point? 
May 20 
comment 
Find the expansion of the exact solution (beyond Taylor)
@Carlo: He says limit $S \ll 1$ ... so you claim that is a mistake and he intends $S \to \infty$ instead? 
May 20 
comment 
Are there examples of functions in $L_1$ and $L_\infty$ whose Fourier series divergent (“weakly”)?
@user228494: Uniform boundedness principle. An interesting method to show existence. But your question asks for "some examples" and UBP is not the way to produce explicit examples. 