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Jhon Doe
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9 Subset of totally bounded set is totally bounded. Feb 26 '18
6 Counter-example: If $J$ is prime then $f^{-1} (J) $ is prime. $f$ need not be unital. Feb 17 '18
6 If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?) Mar 3 '18
6 Proof of Uncountable Basis for $\mathbb{N} \to \mathbb{R}$ over $\mathbb{R}$ Feb 12 '17
6 $\mathbb{Q}(\alpha)=\mathbb{Q}(\beta)$ if $\alpha, \beta$ are algebraic over $\mathbb{Q}$ of degree $2$ and $\alpha +\beta$ is a root of a quadratic. Oct 15 '18
5 Uncountable basis of vector space of infinite sequences in R [duplicate] Feb 12 '17
5 Prove that no ordinal is an element of itself Nov 6 '17
5 Limit of sequence of Riemann integrable functions is not Riemann integrable. Aug 30 '20
5 If $(X_n)_{n\in \mathbb{N}}$ is a martingale s.t. $\sup_n E[|X_n|]\leq M < \infty$, then $\sum_{n\geq 2}(X_n-X_{n-1})^2<\infty$ almost surely. Feb 23
5 Addition of continuous functions over topological spaces is continuous. Apr 16 '19
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