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Jan
28
revised Homotopically equivalent to Čech nerve?
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Jan
28
asked Homotopically equivalent to Čech nerve?
Jan
28
accepted A seemingly wrong definition of convergence of spectral sequences in Bott & Tu?
Jan
25
asked A seemingly wrong definition of convergence of spectral sequences in Bott & Tu?
Jan
21
revised Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris
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Jan
21
revised Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris
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Jan
19
comment Conditions on ideal b for fields or integral domains
It might be worthy to explicate the reason for me (and maybe others) to vote to close the question, and it might be the probable reason for these downvotes. That is to say, you have to write down your efforts when you post questions. It's a convention and a formal etiquette. It may not be that reasonable, though.
Jan
19
revised Conditions on ideal b for fields or integral domains
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Jan
19
revised How to remember all the proofs in mathematics
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Jan
19
comment If $f$ is a continuous function in $[a,b]$ whose derivative $f~'$ exists at every point $c \in [a,b]$. Then, is $f~'$continuous?
Related: math.stackexchange.com/q/112067/23875
Jan
18
comment Convergence of a sequence with assumption that exponential subsequences converge?
@Mizar Thanks for the comment. Early I heard from Kai Lai Chung's A Course in Probability Theory that Etemadi proved SLLN for pairwise independent identically distributed random variables. That's it! But this problem doesn't help since one needs a countable version, but with more assumptions to the original sequence (Cesàro sum of nonnegative numbers).
Jan
18
accepted Convergence of a sequence with assumption that exponential subsequences converge?
Jan
17
comment Convergence of a sequence with assumption that exponential subsequences converge?
@tomasz It should have been $\lvert a_{\lfloor\alpha^l\rfloor}\rvert<\epsilon$. Still checking.
Jan
17
comment Convergence of a sequence with assumption that exponential subsequences converge?
@tomasz Thanks.
Jan
17
revised Convergence of a sequence with assumption that exponential subsequences converge?
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Jan
17
revised Convergence of a sequence with assumption that exponential subsequences converge?
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Jan
17
revised Convergence of a sequence with assumption that exponential subsequences converge?
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Jan
17
asked Convergence of a sequence with assumption that exponential subsequences converge?
Jan
16
comment Show that function has removable singularity
Let $F=\phi\circ f$, then what about $\lim_{z\to a}(z-a)F(z)$? What can you conclude? Then use $f=\phi^{-1}\circ F$ to obtain what you want.
Jan
16
comment Show that function has removable singularity
Consider the biholomorphic map $\phi$ from the half plane $\Re w>0$ to the unit disc $\lvert\zeta\rvert<1$. Study the composite $\phi\circ f$.