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visits member for 3 years, 9 months
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Senior software engineer at Google. B.Sc. and M.Sc. in Computer Science, Software Engineering.


17h
comment Real Between Rationals
@MichaelHardy Pick $q \in (x - \epsilon / 2, x)$ and similar for $q'$.
17h
comment Real Between Rationals
Did you try to apply this property to two, carefully-chosen real numbers in order to get $q$? $x$ is an obvious choice. What should the other number be? Once done, do the same to get $q'$.
17h
comment Real Between Rationals
What's the context of this question? Do you already know that between any two real numbers there is a rational number?
18h
revised If a collection is locally finite, then the collection of all closures is also locally finite
Better title
18h
answered If a collection is locally finite, then the collection of all closures is also locally finite
2d
awarded  Nice Answer
2d
comment Does there exist non-constant holomorphic $f: \mathbb{C} \to \mathbb{C}$ such that $e^{Re(f(z))}+ (\text{Im}f(z))^2 =1, \forall z \in \mathbb{C} \ ?$
@AlexyVincenzo You're welcome.
2d
answered Does there exist non-constant holomorphic $f: \mathbb{C} \to \mathbb{C}$ such that $e^{Re(f(z))}+ (\text{Im}f(z))^2 =1, \forall z \in \mathbb{C} \ ?$
Sep
24
comment CW complexes - An algebraic Topology Question
You're welcome. I added an answer so that the question isn't left unanswered.
Sep
24
answered CW complexes - An algebraic Topology Question
Sep
24
comment CW complexes - An algebraic Topology Question
This is false. These two spaces have different fundamental groups (among other things). Where did you find this exercise?
Sep
20
comment Nulhomotopic map from $S^1 \rightarrow \mathbb{C} - \{0\}$
Isn't this the map $z \mapsto z^2$ which induces the homomorphism $\times 2$ on fundamental groups? It's not nullhomotopic.
Sep
16
revised What formula will tell if three vertices in 3d space are ordered clockwise or counter-clockwise from the point of view of a camera?
edited tags
Sep
15
comment showing that maps from circle to circle are not homotopic
Worth checking anyway. If one avoids fundamental groups, I suspect one will have to follow similar steps in the proof regardless.
Sep
15
comment showing that maps from circle to circle are not homotopic
As for your question, do you consider comparing induced maps on the fundamental group elementary enough?
Sep
15
comment showing that maps from circle to circle are not homotopic
Hi Kenneth, you've asked 12 questions on this site during the last couple of months. Each time, another site member edited your question to render mathematical notation via MathJax. Would you please take some time to do it yourself? This will make your questions easier to read and answer. See this for a tutorial. Also, if you find an answer useful, you can accept it. This marks the question as resolved and rewards the user who took time to help. See this for a tutorial.
Sep
15
comment uniform continuity of a function
$[0, 1]$ is compact and it contains $(0, 1)$.
Sep
15
comment uniform continuity of a function
Do you know that continuous functions on compact sets are uniformly continuous?
Sep
14
comment Mapping on induced topology and distance metric
What's the context of this question? Where did you come across it?
Sep
13
comment Soft question regarding real analysis
@mathwonk Chapters 1-7 are essential. 8-9 are good to have. 10-11 are better studied elsewhere. For example, Rudin's Real & Complex Analysis offers a better intro to Lebesgue integration.