User Jhon Doe - Mathematics Meta Stack Exchange

Jhon Doe

Member for 7 years, 1 month
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Wanna get better at math

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15

Subset of totally bounded set is totally bounded.

8

$\mathbb{Q}(\alpha)=\mathbb{Q}(\beta)$ if $\alpha, \beta$ are algebraic over $\mathbb{Q}$ of degree $2$ and $\alpha +\beta$ is a root of a quadratic.

7

If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?)

6

Proof of Uncountable Basis for $\mathbb{N} \to \mathbb{R}$ over $\mathbb{R}$

6

Counter-example: If $J$ is prime then $f^{-1} (J) $ is prime. $f$ need not be unital.