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Lucas
  • Member for 5 years, 1 month
  • Last seen this week
  • Rio de Janeiro, Brasil
21 votes
1 answer
782 views

Real Analysis. Suggestions.

8 votes
1 answer
955 views

Are spaces shaped like the digits 0, 8 and 9 homeomorphic topological spaces?

7 votes
1 answer
356 views

Topology "generated by" normal subgroups (Topological groups).

7 votes
1 answer
1k views

Let $f(x)$ be an irreducible polynomial over $F$ of degree $n$, and let $K$ be a field extension of $F$ with $[K:F]=m$

7 votes
1 answer
1k views

Proving Holder inequality using Lagrange multipliers

6 votes
1 answer
2k views

Determine the splitting field of $x^4 - 7$ over

6 votes
2 answers
955 views

Solution to one-dimensional Wave Equation with Method of Characteristics

5 votes
2 answers
51 views

Isometry and compactness.

5 votes
1 answer
155 views

Book-recommendations "Profinite Groups"

5 votes
1 answer
485 views

The multiplicative group of units in $\mathbb{Z}_{p}$ is isomorphic to $\mathbb{Z}_{p} \times C_{n}$ with $n=\max\{p-1,2\}$.

5 votes
0 answers
87 views

Dimension of pro-$p$ group

5 votes
4 answers
70 views

If every sequence $(x_{n}) \subset X$ and $(\lambda_{n}) \subset \mathbb{R}$ we have $\lim \lambda_{n}x_{n} = 0$, then $X$ is bounded

5 votes
1 answer
112 views

Family of uniformly continuous functions, pointwise equicontinuous but is not uniformy equicontinuous.

5 votes
2 answers
383 views

Prove that $C^{\infty}_b(\mathbb{R}^{n})$ is dense in $C_{b}(\mathbb{R}^{n})$ using generic functions.

5 votes
3 answers
417 views

The set of injective linear transformations is dense in $\mathcal{L}(\mathbb{R}^{n},\mathbb{R}^{m})$

5 votes
1 answer
186 views

Prove that if $ \operatorname{Gal}(K/F) \simeq \Bbb{Z}/2\Bbb{Z}\times\Bbb{Z}/2\mathbb{Z}$, then $K = F(\sqrt{a},\sqrt{b})$ for some $a,b \in F$

5 votes
1 answer
154 views

A form $\omega$, of degree $2$ in $U$ such that $\omega \wedge \alpha = \omega \wedge \beta = 0$, prove that $\omega = f\cdot \alpha \wedge \beta$

5 votes
1 answer
2k views

Uniform convergence of alternating series

4 votes
4 answers
151 views

Any suggestions on using induction to prove this inequality?

4 votes
2 answers
768 views

Algebraic closure of $\mathbb{Q}$ in $\mathbb{C}$. Alternative proof?

4 votes
1 answer
99 views

Given $X \subset \mathbb{R}^{n}$ connected, if $A \subset X$ is such that $\partial A \cap X = \emptyset$, then $A = \emptyset$ or $A=X$

4 votes
1 answer
160 views

Relation between rank of a linear transformation and pullback ($r$-linear forms.)

4 votes
1 answer
658 views

Inverse Function Theorem and Hessians Matrices

4 votes
1 answer
379 views

Let $\sigma \in Aut(K)$ have infinite order and $F = \mathcal{F}(\sigma)$. Show that if $K/F$ is algebraic, then $K$ is normal over $F$.

4 votes
0 answers
64 views

Show that the $\mathbb{Q}$-homomorphism is well-defined.

4 votes
1 answer
155 views

Galois Theory. Fixed Field. Find the minimal polynomial.

4 votes
0 answers
82 views

Properties of a continuous function that satisfies $f(tx)=t^2 f(x)$

4 votes
1 answer
229 views

Implicit Function Theorem on Surfaces.

4 votes
2 answers
259 views

Calculating Pull-Back of a $1$-form.

4 votes
1 answer
129 views

Line integral and differentiability of $\Vert f \Vert^{p}$ where $f(x) = A(x)$

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