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visits member for 2 years
seen 14 hours ago

Apr
11
awarded  Yearling
Mar
1
comment Events for high school students which can look good on a cv.
To answer your question literally: no. Stuff like a medal in the IMO would be best, but even that is hardly worth putting on your CV.
Mar
1
comment Is it possible to make a commutative homomorphism image non-commutative?
Can't you take $\rho$ and $\tau$ to be the identity morphisms on $G$ and $K$ respectively?
Dec
3
comment Nice notation for projection maps
If the codomain is clear by context, you could (by abuse of notation) just write $\pi$ for both maps...
Sep
22
comment Let $x_0$ $\in \space G$, G is open, and put $F=[x_0,\infty) \cap G^c.$ (a) Prove that $F$ is a non-empty set.
Your counterexample clearly works, so something's wrong with this exercise. Maybe you are supposed to be using an alternative topology on $\mathbb{R}$?
Aug
24
comment Define a metric based on a topology
In many cases $d$ will not exist, but even if it does, at this time we don't know a general method to construct such a $d$ (and as said, once you've found one metrization, you'll have found infinitely many).
Aug
24
comment Define a metric based on a topology
i think what you are looking for is the "metrizability" of a topology.
Aug
13
comment Advice for GRE exam (Surface area of cylinder)
i think we really need to see the original question for this one.
Jul
31
comment Why are topological spaces interesting to study?
Actually, Furstenberg's topology on the integers is metrizable with the norm $||n||=(\max\{k\in\mathbb{N}^*:1|n,\dots,1|k\})^{-1}$
May
14
comment Can a Accumulation Point be an Eigenvalue?
In what space is 0 an accumulation point, and what is it accumulated by? Clearly, the zero operator is compact and has eigenvalue 0...
May
8
comment Constructing Points
I'm pretty sure we'll need a drawing to help you.
Apr
11
awarded  Yearling
Apr
10
comment Explaining why we can't “find” an antiderivative of $f(t) = e^{t^2}$.
The "general formula for the roots of a polynomial"-problem was solved beautifully by Galois theory; is this problem equally elegantly solved?
Apr
2
comment Can convergence be seen as a form of continuity?
Oh, i'm sorry, /all/ topological spaces $Y$. I read "is there a toplogical space "Y" s.t....". My bad.
Apr
2
comment Can convergence be seen as a form of continuity?
1) Take $Y=\{x\}$
Mar
23
comment How do I prove the following: $f(S\cup T) = f(S) \cup f(T)$
1. please use latex for math notation. 2. what are your own thoughts? what is your definition of them being equal?
Mar
19
comment How do i prove that the reduced row echelon form is unique?
By "question", I meant your definition of being in reduced row echelon form. I meant that you never defined what it means for $B$ to be the rref of $A$.
Mar
19
comment How do i prove that the reduced row echelon form is unique?
You only defined the property of being in reduced row echelon form. This is a yes/no question. I cannot think of a natural definition for uniqueness from your question.
Mar
19
comment to show $X$ is disconnected
You don't need a concept of a "mother space" to define connectedness - it's all about finding two open subsets $A,B\subset X$ with $A\cap B=\emptyset$ and $A\cup B=X$.
Mar
19
comment $g:\mathbb{C}\rightarrow\mathbb{C}$ be analytic and $g(0)\neq 0$ we need to calculate $\frac{1}{2\pi i}\int_{|z|=r>0} f(z)g(z) dz$
Calculate residue at 0 using Laurent series?