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Mathematics
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user1999
  • Member for 5 years, 9 months
  • Last seen more than 2 years ago
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question
5
$X$ is locally connected and countably compact
Oct 17, 2020
question
4
$X$, $Y$ be metric spaces and $f: X \to Y$. If $X$ is Baire and $Y$ is separable then $f$ is continuous in a dense $G_{\delta}$ of $X$
Dec 1, 2020
question
4
$\langle a\rangle \simeq \langle b \rangle$ if and only if $a$ and $b$ have the same index and period
Mar 9, 2021
question
3
$\sup_{x \neq y}\frac{||f(x)-f(y)||}{||x-y||}= \sup_{z \in U} ||f'(z)||$
Sep 15, 2020
question
3
The union of a locally finite family of functionally closed- RYSZARD ENGELKING
Oct 31, 2020
question
3
If $f$ is atomic then int $(f (U)) \neq \emptyset$ (interior). True or False?
Oct 16, 2021
question
2
If $f$ is twice differentiable at $a$, prove $f''(a) vw= \lim_{k \rightarrow \infty} \frac{f(a+t_k(v_k+w_k))-f(a+t_kv_k)-f(a+t_kw_k)+f(a)}{t_k^2}$
Aug 25, 2020
question
2
Let $f $ be $C^{\infty}$ with $f(x,0)=f(0,y)=0\in\mathbb R$. Show $f(x,y) = xyg(x,y)$ for $g\in C^\infty$ [duplicate]
Aug 27, 2020
question
2
Implicit functions of $f(x,y,z)= x \sin z- y \cos z=0$
Sep 14, 2020
question
2
property $P$ type $a$ and irreducibility with respect to $P$
Oct 3, 2020