Mathematics
Sourav Ghosh's user avatar
Sourav Ghosh's user avatar
Sourav Ghosh's user avatar
Sourav Ghosh
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Learn from yesterday, live for today, hope for tomorrow. The important thing is not to stop questioning). – Albert Einstein (1879–1955)

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question
17
Does there exist $f:\Bbb{R}\to \Bbb{R}$ additive onto function such that $f(F) \subset \Bbb{R}$ has the property of Baire for every $F$?
Jun 11, 2022
question
14
Is there any condition that makes a measure zero set necessarily countable?
Dec 6, 2021
question
11
Can we define a norm on $\Bbb{R^\omega}$ in a basis free way?
Dec 15, 2021
answer
9
If $G/M$ and $G/N$ both are cyclic and $\gcd(|M|,|N|)=1$, then $G$ is abelian.
Aug 9, 2022
question
9
Can we find $f\in \Bbb{R}^{[0, 1]}$ with the property $\mathcal{M}$ which doesn't satisfy the property $\mathcal{B}$?
May 21, 2022
answer
9
Do Wronskians have the intermediate value property?
Jul 12, 2022
answer
8
If A is a $2×2 $ matrix, does $A^2=3A$ imply $ A=0$ or $A=3I$?
Jul 26, 2022
question
8
Can you give me an example of a non compact topological space with compact dense subset?
Nov 24, 2021
question
8
Does there any diffentiable function $f$ such that $f'$ is discontinuous exactly on $\Bbb{Q} $ and continuous on $\Bbb{R}\setminus \Bbb{Q}$?
Jun 14, 2022
question
8
Given $G=\langle a\rangle$, $|G|=n$ and $d\mid n$, show $G$ has a unique subgroup of order $d$.
Dec 10, 2021
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