# Matt N.

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bio website tancast.com/wp-content/… location age member for 3 years, 6 months seen 2 days ago profile views 5,669

# 436 Questions

 68 Your favourite application of the Baire Category Theorem 18 When do weak and original topology coincide? 15 Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$ 13 Question about the Riesz representation theorem(s) 12 Allowing addition of ordinals in forcing

# 17,772 Reputation

 +10 Give an example of a measure which is not complete +20 Prove $0! = 1$ from first principles +5 Proof: A loop is null homotopic iff it can be extended to a function of the disk +5 Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$

 46 Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$? 33 Prove $0! = 1$ from first principles 17 Is there a set that is both a sigma algebra and a topology but not a powerset? 14 Continuous function on a compact metric space is uniformly continuous 13 I want to know why $\omega \neq \omega+1$.

# 166 Tags

 200 general-topology × 91 84 homework × 45 193 real-analysis × 88 66 metric-spaces × 27 134 abstract-algebra × 70 64 elementary-set-theory × 67 112 functional-analysis × 104 61 set-theory × 70 86 algebraic-topology × 115 59 group-theory × 32

# 13 Accounts

 Mathematics 17,772 rep 53497 Japanese Language 1,078 rep 49 Stack Overflow 638 rep 1719 TeX - LaTeX 214 rep 16 Pets 180 rep 6