Saaqib Mahmuud

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36 Questions

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7	What About The Converse of Lagrange's Theorem?
7	Is an uncountable product of connected topological spaces connected?
3	Is $\mathbf{R}^\omega$ in the uniform topology connected?
3	How to show that $C[a,b]$ is infinite dimensional?
2	Can a non-zero vector have zero image under every linear functional?

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277 Reputation

+5	Given a pair of continuous functions from a topological space to an ordered set, how to prove that this set is closed?
+5	Is an uncountable product of connected topological spaces connected?
+5	How to prove that two non-zero linear functionals defined on the same vector space and having the same null-space are proportional?
+5	How is the general linear group a topological group?

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5 Answers

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2	Prove $\|\frac{1}{n} - \frac{1}{x}\| \le \frac{1}{n^2}$
1	Can any subset of $\mathbb{R}^2$ be expressed in form $A\times B$, where $A$ and $B$ are subsets of $\mathbb{R}$?
0	$\lim_{n \rightarrow \infty} \frac{(2n)!}{n^{2n}}$
0	Prove that if $\gcd(a,c)=1$ and $\gcd(b,c)=1$ then $\gcd(ab,c)=1$
0	$A^T A$ eigenvalue bounding

35 Tags

2 calculus × 2	0 metric-spaces × 11
1 elementary-set-theory	0 normed-spaces × 9
0 analysis × 13	0 sequences-and-series × 5
0 general-topology × 12	0 connectedness × 5
0 functional-analysis × 12	0 operator-theory × 5

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$Mathematics Stack Exchange$

Mathematics

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