Plop
Reputation
268
Next privilege 500 Rep.
Access review queues
 Sep24 awarded Autobiographer Jul2 awarded Curious May28 accepted On what sets can $\mathfrak{S}_n$ act transitively? May28 asked On what sets can $\mathfrak{S}_n$ act transitively? May15 comment Irrationality of $\pi$ another proof If $\alpha$ is irrational, you can find such a sequence (the sequence of convergent's numerators and denominators, for example). So the proof you are looking for does exist :p Apr7 awarded Yearling Mar23 comment “Poissonization” and intuition If you want to prove that $N_1$ and $N_2$ are dependent, you have to find two subsets $A$ and $B$ of $\mathbb{N}$ such that $\mathbb{P}(N_1 \in A \mbox{ and } N_2 \in B) \not = \mathbb{P}(N_1 \in A)\mathbb{P}(N_2 \in B)$. In your post, there is no such $A$ and $B$, and this is where you are wrong. Mar21 asked “Poissonization” and intuition Dec11 comment Simply Connected domains. Unless it is $\mathbb{C}$ itself ! If you want to prove this result with complex analysis, you should at least choose your $f$ to be biholomorphic. Dec6 answered Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$ Dec5 answered What's next in this number series? Dec2 accepted Submonoids of $\mathbb{N}^k$ Dec2 revised Submonoids of $\mathbb{N}^k$ added 1 characters in body Dec2 comment Submonoids of $\mathbb{N}^k$ I edited my post, answering your questions. Dec2 revised Submonoids of $\mathbb{N}^k$ added 252 characters in body Dec2 asked Submonoids of $\mathbb{N}^k$ Dec2 comment Does “locally connected and path-connected” imply locally path-connected? Next time, you could use austinmohr.com/home/?page_id=146 It's a searchable database of the counterexamples that you can find in the book. Unafortunately, this time, your counterexample was not known... Dec1 awarded Benefactor Dec1 accepted $\sigma$-algebras and product topology Dec1 comment $\sigma$-algebras and product topology Well done :) ! Thanks a lot.