Intereting Posts

Fibonacci Recurrence Relations
Application of Weierstrass theorem
Finding $d=\gcd(a,b)$; finding integers $m$ and $n$: $d=ma+nb$
Derivative (or differential) of symmetric square root of a matrix
Relative countable weak$^{\ast}$ compactness and sequences
I need help finding a rigorous precalculus textbook
How to show this presentation of the additive group $(\mathbb{Q},+)$?
Find the number of pathways from A to B if you can only travel to the right and down.
Euler's remarkable prime-producing polynomial and quadratic UFDs
Example of a group where $o(a)$ and $o(b)$ are finite but $o(ab)$ is infinite
Classifying Types of Paradoxes: Liar's Paradox, Et Alia
class function question
Show that $L^1$ is strictly contained in $(L^\infty)^*$
A uniformly continuous function between totally bounded uniform spaces
loewner ordering of symetric positive definite matrices and their inverse

Is the set of integers $ \mathbb{Z}$ closed in $\mathbb{R}$ equipped with the usual topology?

- Tychonoff and compactness (logic) and another small logic question
- Conditions that ensure that the boundary of an open set has measure zero
- $(0,1)$ is an open subset of $\mathbb{R}$ but not of $\mathbb{R}^2$, when we think of $\mathbb{R}$ as the x-axis in $\mathbb{R}^2$. Prove this.
- Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
- What REALLY is the modern definition of Euclidean Spaces?
- When is a metric space of bounded real valued functions separable?
- show that a distance function is continuous
- Does every locally compact second countable space have a non-trivial automorphism?
- Is integrability of a function a local property?
- Zariski Topology question

$\mathbb{R}\setminus\mathbb{Z} = \bigcup_{n\in\mathbb{Z}}(n,n+1)$ is a union of open sets and therefore open. Since the complement of $\mathbb{Z}$ is open in $\mathbb{R}$, $\mathbb{Z}$ is closed in $\mathbb{R}$.

- Examples of Baire class 2 functions
- Evaluate integral using Fourier analysis
- An exercise about finite intersection property in $T_1$ space
- Reference Request to Prepare for Hatcher's “Algebraic Topology”
- Question of Clifford theory
- Prove that B is a basis for a topology
- Permutation isomorphic subgroups of $S_n$ are conjugate
- Why fourier transformation use complex number?
- Alternative solution to $\cos\frac{2\pi}{17}$
- Evaluating $\psi^{(1/2)}(x)$ of the extended polygamma function
- On the trigonometric roots of a cubic
- Are orbits equal if and only if stabilizers are conjugate?
- Sylow $p$-subgroups of finite simple groups of Lie type
- In which of following stuctures is valid implication $x\cdot y=1\implies x=1$?
- $C^{1}$ function such that $f(0) = 0$, $\int_{0}^{1}f'(x)^{2}\, dx \leq 1$ and $\int_{0}^{1}f(x)\, dx = 1$