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Mathematics
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Ussesjskskns
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  • The Cantor Set
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You can find me here for discussion/ suggestion.

You can contract with me via : Souravghosh(without space)mth [@]gmail[dot]com

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George Polya said, “If you can’t solve a problem, then there is an easier problem you can’t solve. Find it.”

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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How Does One Do Mathematical Research?(Or Maybe How Not To)by Lee Lady

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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
14
Is there any condition that makes a measure zero set necessarily countable?
Dec 6, 2021
11
Can we define a norm on $\Bbb{R^\omega}$ in a basis free way?
Dec 15, 2021
9
Do Wronskians have the intermediate value property?
Jul 12, 2022
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
9
If $G/M$ and $G/N$ both are cyclic and $\gcd(|M|,|N|)=1$, then $G$ is abelian.
Aug 9, 2022
9
Given $G=\langle a\rangle$, $|G|=n$ and $d\mid n$, show $G$ has a unique subgroup of order $d$.
Dec 10, 2021
8
If A is a $2×2 $ matrix, does $A^2=3A$ imply $ A=0$ or $A=3I$?
Jul 26, 2022
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
8
How does every vector space have at least two subspaces?
May 6, 2023
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Let $X$ be a finite set of $n$ ($>1$) elements and $\tau$ be a topology on $X$ having exactly $m$ elements. Can we give any description of $m$?
6
How much information can we extract about such a group?