Question

Elementary Subset Relation Proof

score 66 · Answer 1 · 2020-04-30 17:43:13

66

Views

Elementary Subset Relation Proof

Published on 30 Apr 2020 - 17:43

score 68 · Answer 2 · 2020-04-30 18:12:47

68

Views

Separability of a topological space implies CCC.

Published on 30 Apr 2020 - 18:12

score 148 · Answer 3 · 2026-03-25 23:52:17

148

Views

Prob. 13, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: Every collection of disjoint open sets in a separable space is countable

Published on 25 Mar 2026 - 23:52

score 39 · Answer 4 · 2020-04-30 19:12:31

39

Views

Why am I getting the wrong answer? Simplification of $(1-\beta x)(-\beta x)^2 + \beta x(1-\beta x)^2$?

Published on 30 Apr 2020 - 19:12

score 351 · Answer 5 · 2026-04-01 10:32:46

351

Views

Proving / Disproving the group is isomorphic when it itself is built of isomorphisms

Published on 01 Apr 2026 - 10:32

score 24 · Answer 6 · 2020-04-30 19:43:32

24

Views

Proving a result on Spectral Radius - proof verification

Published on 30 Apr 2020 - 19:43

score 76 · Answer 7 · 2020-04-30 19:57:12

76

Views

Evaluate $\int^{1/2}_0\frac{1}{x(\ln(1/x))^2}\text{d}x$

Published on 30 Apr 2020 - 19:57

score 58 · Answer 8 · 2026-04-03 01:46:33

58

Views

If $f$ and $g$ are differentiable at $x_{0}$, and $g$ is non-zero on $X$, then $f/g$ is also differentiable at $x_{0}$ and . . .

Published on 03 Apr 2026 - 1:46

score 860 · Answer 9 · 2026-04-09 07:32:36

860

Views

Prob. 11, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: A continuous image of a Lindelof (separable) space is Lindelof (separable)

Published on 09 Apr 2026 - 7:32

score 139 · Answer 10 · 2026-04-09 00:47:57

139

Views

Proof Verification and Taylor Series

Published on 09 Apr 2026 - 0:47

score 293 · Answer 11 · 2026-04-03 01:46:33

293

Views

If $f$ is monotone increasing and $f$ is differentiable at $x_{0}$, then $f'(x_{0}) \geq 0$.

Published on 03 Apr 2026 - 1:46

score 96 · Answer 12 · 2020-04-30 20:56:45

96

Views

Prove that $\{(x,y)\in\mathbb{R}^2 | |x|+|y| = 1\}$ has Jordan content 0.

Published on 30 Apr 2020 - 20:56

score 165 · Answer 13 · 2026-03-25 09:49:28

165

Views

Prob. 12, Sec. 30, in Munkres' TOPOLOGY, 2nd edition: Every continuous open image of a first / second countable space is also first / second countable

Published on 25 Mar 2026 - 9:49

score 123 · Answer 14 · 2026-03-26 12:38:01

123

Views

Let $f:X\rightarrow\textbf{R}$ be a uniformly continuous function. Suppose that $E$ is a bounded subset of $X$. Then $f(E)$ is also bounded.

Published on 26 Mar 2026 - 12:38

score 1.3k · Answer 15 · 2026-04-09 07:32:33

1.3k

Views

Prob. 14, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: If $X$ is Lindelof and $Y$ is compact, then $X\times Y$ is Lindelof

Published on 09 Apr 2026 - 7:32

List Question

Elementary Subset Relation Proof

Separability of a topological space implies CCC.

Prob. 13, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: Every collection of disjoint open sets in a separable space is countable

Why am I getting the wrong answer? Simplification of $(1-\beta x)(-\beta x)^2 + \beta x(1-\beta x)^2$?

Proving / Disproving the group is isomorphic when it itself is built of isomorphisms

Proving a result on Spectral Radius - proof verification

Evaluate $\int^{1/2}_0\frac{1}{x(\ln(1/x))^2}\text{d}x$

If $f$ and $g$ are differentiable at $x_{0}$, and $g$ is non-zero on $X$, then $f/g$ is also differentiable at $x_{0}$ and . . .

Prob. 11, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: A continuous image of a Lindelof (separable) space is Lindelof (separable)

Proof Verification and Taylor Series

If $f$ is monotone increasing and $f$ is differentiable at $x_{0}$, then $f'(x_{0}) \geq 0$.

Prove that $\{(x,y)\in\mathbb{R}^2 | |x|+|y| = 1\}$ has Jordan content 0.

Prob. 12, Sec. 30, in Munkres' TOPOLOGY, 2nd edition: Every continuous open image of a first / second countable space is also first / second countable

Let $f:X\rightarrow\textbf{R}$ be a uniformly continuous function. Suppose that $E$ is a bounded subset of $X$. Then $f(E)$ is also bounded.

Prob. 14, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: If $X$ is Lindelof and $Y$ is compact, then $X\times Y$ is Lindelof

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