Rudy the Reindeer
Reputation
80/100 score
9 55 154
Impact
~639k people reached

### Questions (436)

 116 Your favourite application of the Baire Category Theorem 28 Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$ 23 Space of bounded continuous functions is complete 22 When do weak and original topology coincide? 16 Proof that every finite dimensional normed vector space is complete

### Reputation (22,178)

 +5 Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$ +10 Attaching a topological space to another +5 Question about example of non-separable Hilbert space +5 How many cardinals are there?

 77 Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$? 50 Prove $0! = 1$ from first principles 44 Continuous mapping on a compact metric space is uniformly continuous 19 Is the space $C[0,1]$ complete? 17 Is there a set that is both a sigma algebra and a topology but not a powerset?

### Tags (179)

 274 general-topology × 96 106 metric-spaces × 31 241 real-analysis × 92 94 faq × 2 189 abstract-algebra × 81 90 field-theory × 16 158 functional-analysis × 104 80 group-theory × 38 107 algebraic-topology × 116 74 elementary-set-theory × 69

### Accounts (20)

 Mathematics 22,178 rep 955154 Japanese Language 1,315 rep 715 Stack Overflow 722 rep 2821 Pets 321 rep 211 TeX - LaTeX 251 rep 28