Reputation
21,205
Next tag badge:
99/100 score
24/20 answers
Badges
9 52 147
Impact
~562k people reached

Sep
28
comment Showing that an inclusion is null homotopic
@morphic I don't remember.
Sep
28
comment finding a linear transformation
I might be missing something but is there any reason why you can't just define $\theta = \alpha \oplus \beta$?
Sep
23
awarded  Notable Question
Sep
23
answered Proving a limit of nth-root: If $\lim_{n \to \infty}a_{n} = a>0$ then $\lim_{n \to \infty} \sqrt[n]{a_{n}} = 1$
Sep
22
comment Reference for guided exercises in Group Theory
Have a look at Joseph Gallian's Contemporary Abstract Algebra. It contains solutions to all odd numbered problems.
Sep
22
revised Product of holomorphic functions
edited tags
Sep
22
answered Product of holomorphic functions
Sep
22
revised Holomorphic function on a unit disk
edited tags
Sep
19
comment $f,g,h$ be a holomorphic functions such that $|f(z)|+|g(z)|+|h(z)|=1$
@Potato Ok, right, of course it's enough to show they are constant on an open subset. I believe you but I don't yet see how to get the open subset. Concretely, if they are not constant each one has some open subset on which they are non zero, say $U_f, U_g$ and $U_h$. How do we guarantee that their intersection is non empty?
Sep
19
comment $f,g,h$ be a holomorphic functions such that $|f(z)|+|g(z)|+|h(z)|=1$
So $g$ is the square root of $f$ but if $f$ is zero anywhere the square root is not differentiable in which case $g$ would not be holomorphic. So your answer assumes that $f,g,h$ are non-zero on $U$. Or am I missing something here?
Sep
18
comment Functions of a Complex Variable and Complex Differentiability
Did you mean $f'(z)\neq0$?
Sep
18
comment Suppose that $f: D \to D$ is analytic with $f(0) = 0$. Show $f$ assumes all values $z$ with $|z| \leq 1/2$ with given assumption
$D$ is most probably the open unit disk in the complex plane.
Sep
18
revised Complex Differentiability with respect to x and y
added 124 characters in body
Sep
18
comment Complex Differentiability with respect to x and y
@user251257 Got it. Thank you for your comments! I will edit the answer.
Sep
18
comment Complex Differentiability with respect to x and y
@user251257 Good point. Let me find the mistake.
Sep
18
answered Complex Differentiability with respect to x and y
Sep
16
awarded  Popular Question
Sep
16
awarded  Popular Question
Sep
16
comment What tools would I use to answer the following topology question?
@user254665 I see. Thank you for the comment.
Sep
15
answered A simple question about ring theory