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Gleb Chili's user avatar
Gleb Chili's user avatar
Gleb Chili's user avatar
Gleb Chili
  • Member for 7 years, 6 months
  • Last seen more than a month ago
7 votes
2 answers
2k views

Topological space with fundamental group $\mathbb{Z}/3\mathbb{Z}$.

6 votes
1 answer
620 views

Invariant polynomials under dihedral group action

5 votes
5 answers
2k views

Does $\sum q^\sqrt n$ converge?

5 votes
1 answer
472 views

Are $C$ and $C\times C$ homeomorphic?

4 votes
1 answer
617 views

$\mathbb Q[\cos(\frac{2\pi}{75})]$ is a Galois extension over $\mathbb Q$.

3 votes
1 answer
751 views

Product of countably many Cantor sets

3 votes
1 answer
1k views

Schur polynomials form a basis for the space of symmetric polynomials

3 votes
1 answer
146 views

Two non-isomorphic $\mathbb Z[i]$-modules which are isomorphic as abelian groups.

3 votes
1 answer
222 views

If $\lambda$ is a limit cardinal then $\kappa^\lambda = (\kappa^{<\lambda})^{cf \lambda}$ for each cardinal $\kappa$.

3 votes
2 answers
105 views

Showing that $\kappa^+ \leq 2^\kappa$ in ZF.

2 votes
1 answer
120 views

Superintuitionistic logics weaker then classical logic

2 votes
1 answer
136 views

Criterion for $\forall\exists$-axiomatizability.

2 votes
0 answers
109 views

Do independent increments and continuous variance imply that random process is $L_2$ continuous?

2 votes
3 answers
142 views

Solve $\int_{|z|=3}\frac{\mathrm{e}^{\frac1{1-z}}}z\,\mathrm{d}z$

2 votes
3 answers
57 views

Find $\oint\limits_{|z-\frac{1}{3}|=3} z \text{Im}(z)\text{d}z$

2 votes
1 answer
980 views

Number of non-isomorphic models of the structure

2 votes
1 answer
84 views

Solution for differential equation mechanical motion

2 votes
1 answer
1k views

Polynomial remainder theorem for polynomials over ring

2 votes
2 answers
82 views

Function $f$ from $L^2[0,1]$ such that $\int \limits_0^1 f(x)g(x)dx = g(0)$, where $g$ is polynomial.

2 votes
1 answer
79 views

Choosing $a$ such that equation $f(x, a)=g(x)$ has only one solution with respect to $x$

2 votes
1 answer
88 views

$f \in C([0, 1]$ and $|f| \in AC([0, 1])$ imply $f \in AC([0, 1])$. [closed]

1 vote
1 answer
96 views

Two triangles are inscribed in conic iff their edges are tangent to another conic.

1 vote
0 answers
138 views

Vertices of two triangles, self-polar with respect to one conic, lie on another conic (My proof added)

1 vote
1 answer
909 views

Fundamental group of common Klein bottle immersion

1 vote
1 answer
158 views

Sum of the $\sum_{n=0}^\infty \frac{(-1)^n}{2n+1}$.

1 vote
0 answers
41 views

Residue of the form $\text{exp}(\frac{1}{1+\sqrt{z}})\text{d}z$ at 1.

1 vote
1 answer
185 views

Lebesgue measure of proper subset $A \subset [0, 1]$.

1 vote
1 answer
67 views

Convergence in $L_1$ implies convergence in measure $f_n \xrightarrow[]{L_1}f \Rightarrow f_n \xrightarrow[]{\mu}f$.

1 vote
1 answer
86 views

Is $\mathbb Q[\sqrt{11} + 10^\frac{1}{3}]$ equal to $\mathbb Q[\sqrt{11}, 10^\frac{1}{3}]$?

1 vote
1 answer
84 views

Solutions for $xy’+ay=f(x)$ for $a < 0$ have a limit at $x \rightarrow 0$.