user50554
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### Questions (14)

 5 Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)}$ 4 In a metric space, compactness implies completness 3 Every finite set contains its supremum: proof improvement. 2 Every sequence is composed of isolated points? 1 In a metric space, if a set is compact, then it is closed: improving proof

### Reputation (160)

 +10 In a metric space, compactness implies completness +5 In a metric space, if a set is compact, then it is closed: improving proof +5 Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)}$ +5 Proof: in $\mathbb{R}$, $((0,1),|\cdot|)$ is not compact.

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### Tags (12)

 0 real-analysis × 9 0 linear-algebra × 2 0 general-topology × 6 0 determinant 0 compactness × 3 0 matrices 0 metric-spaces × 3 0 functions 0 sequences-and-series × 3 0 proof-writing

### Accounts (2)

 Mathematics 160 rep 10 Stack Overflow 1 rep 1