Skip to main content
homosapien's user avatar
homosapien's user avatar
homosapien's user avatar
homosapien
  • Member for 5 years, 8 months
  • Last seen this week
5 votes
Accepted

Limit of $\lim_{x\to \infty} \frac{e^{\sin(x)}}{\ln(\ln(x))}$

4 votes

Absolute continuity of the Lebesgue integral

4 votes

Is Lebesgue measure translation invariant?

4 votes

Textbooks on Complex Analytic Spaces

2 votes
Accepted

Union between sets: notation

2 votes
Accepted

Why am I getting ∫(3x+1)^3dx as ((3x + 1)^12 )/18?

2 votes

$HK$ is a subgroup of $G$ if and only if $HK = KH$

2 votes
Accepted

Show the function defined on $[0,1] \times [0,1]$ via $\frac{x^2-y^2}{(x^2+y^2)^2}$ if $(x,y) \neq 0$ and $0$ otherwise is not integrable.

2 votes

Intersection of nested sequence of non-empty compact sets is non-empty (using sequential compactness)

2 votes
Accepted

Re($f(z)$)$=$Im($f(z))$ implies $f$ is constant over connected domain of $\mathbb{C}$

1 vote

Intersection of nested sequence of compact connected sets is connected

1 vote

Is the pre-image of a subgroup under a homomorphism a group?

1 vote

Infinite topological space with cofinite topology is not Hausdorff

1 vote

Approximating measures by open sets and compact sets.

1 vote

Space which is connected but not path-connected

1 vote

Set theory - why there are complement operation?

1 vote
Accepted

linear functional over real Banach space is bounded iff continuous

1 vote

why the domain of $(2x - 3)^{e^{1/x - 1}}$ is $x > 3/2$

1 vote
Accepted

Successor topology

1 vote
Accepted

Let $a$ and $b$ be integers and $m$ be a positive integer. Prove that $ab \equiv [(a\pmod m)\cdot(b\pmod m)] \pmod m$

1 vote

How to show that every Boolean ring is commutative?

1 vote

Every maximal ideal of a commutative unitary ring is prime (Proof explanation)

1 vote

Image of a morphism of varieties

1 vote

$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$

1 vote

$\mu(X) \lt \infty$. Then $f_k \to f$ in measure iff for any subsequence $k_l$, there is a subsequence $k_{l_n}$ such that $f_{k_{l_n}}\to f$ a.e.

1 vote
Accepted

Show the $n$th derivative at $0$ is bounded by $n!$ at $0$

1 vote

If $I+J=R$, where $R$ is a commutative rng, prove that $IJ=I\cap J$.

1 vote

Proof verifying that separable metric space is second countable

1 vote
Accepted

Show a path from $a$ to $b$ is homotopic to path from $a$ to $b$ passing through $c$ in path-connected space.

1 vote

How to prove that a compact set in a Hausdorff topological space is closed?