1d
comment Separation and Hausdorff
I doubt Munkres wrote word-for-word what you report.
1d
asked hypergeometric at nearest singularity
1d
comment is a question regarding thought process suitible?
Keep in mind: opinion questions and discussion questions will likely be closed. Now, if you ask whether there is published research on mathematicians' thought processes...
1d
comment A criterion of norm null sequences in Banach space
More generally, in a metric space, a sequence $x_n$ converges to $y$ if and only if every subsequence of $x_n$ has a subsequence that converges to $y$. For topological space, you can do this with nets instead of sequences.
2d
comment Is the notation ${}^t g$ for the transpose of a linear transformation intended to be suggestive?
I think the left t is the Bourbaki choice.
2d
comment Show that $n!^{n+1}$ divides $(n^2)!$
How about using the formula for the highest power of a prime $p$ that divides a factorial? Then apply it for all primes.
2d
comment "Nice" functions on infinite-dimensional space of germs of continuous functions at a point
You say "functionals" and not "linear functionals", right?
Oct
17
comment What is an appropriate antonym for "genesis"?
"The rise and fall of Hurricane Oscar"...
Oct
17
comment Formula or easier way to do this math:
I think no one can give a sensible answer until lin answers Hagen...
Oct
16
awarded Yearling
Oct
16
awarded Yearling
Oct
16
revised As$\ n \to \infty$, can a transcendental function$\ f\left(1+ \frac{1}{n}\right)$ to the power of$\ n$ tend to a rational power of$\ e$?
added 245 characters in body
Oct
16
answered As$\ n \to \infty$, can a transcendental function$\ f\left(1+ \frac{1}{n}\right)$ to the power of$\ n$ tend to a rational power of$\ e$?
Oct
15
answered Prove that $z = tx + (1 − t)y$ if $d(x, y)= d(x, z) + d(z, y)$
Oct
15
comment Using Baire Category Theorem to prove $\mathbb{R}^2\not\cong\mathbb{R}^3$.
On the contrary, I imagine the usual algebraic topology works quite well in mere ZF.
Oct
15
comment Is the sequence of Apéry numbers a Stieltjes moment sequence?
I accepted this answer. But anyone reading should see the other answers, too, to get a full discussion.
Oct
15
accepted Is the sequence of Apéry numbers a Stieltjes moment sequence?
Oct
15
comment Knowing why a question was closed
Note... now re-opened, after being re-worded by a third party.
Oct
15
comment Using Baire Category Theorem to prove $\mathbb{R}^2\not\cong\mathbb{R}^3$.
Every proof that $\mathbb R^2$ and $\mathbb R^3$ are not homeomorphic uses some sort of algebraic topology. It cannot be proved in pure "point-set" topology. (How's that for a bold assertion?)
Oct
15
comment Are Banach space norms (up to equivalence) unique?
... of course (as noted by Simon) that unbounded $\phi$ cannot be explicitly constructed. And cannot be constructed at all in simple ZF set theory.
1 2 3 4 5