Question

Proof that a continuous function on a compact set is uniformly continuous, compact set not containing infimum

score 573 · Answer 1 · 2020-07-01 09:13:09

573

Views

Proof that a continuous function on a compact set is uniformly continuous, compact set not containing infimum

Published on 01 Jul 2020 - 9:13

score 101 · Answer 2 · 2026-03-27 19:30:04

101

Views

Groups where every continuous function is uniformly continuous

Published on 27 Mar 2026 - 19:30

score 851 · Answer 3 · 2020-07-08 05:58:21

851

Views

Sequential Criterion for the absence of Uniform Continuityy

Published on 08 Jul 2020 - 5:58

score 88 · Answer 4 · 2020-07-18 03:01:30

88

Views

Geometric intuition about continuous and uniform continuous functions

Published on 18 Jul 2020 - 3:01

score 131 · Answer 5 · 2020-07-19 03:00:25

131

Views

Show that $f(x)=\frac{1}{\sqrt{x}}$ is uniformly continuous on the domain $(1,\infty)$ but not on the domain $(0,1)$.

Published on 19 Jul 2020 - 3:00

score 68 · Answer 6 · 2020-07-21 01:39:59

68

Views

Is this statement on non linear ODE works?

Published on 21 Jul 2020 - 1:39

score 63 · Answer 7 · 2020-07-23 08:54:36

63

Views

Uniformly continuous and differentiable

Published on 23 Jul 2020 - 8:54

score 77 · Answer 8 · 2020-07-27 14:44:17

Let $\alpha>0$. Show that the function $f(x)=1/x$ given by $f:[\alpha,\infty)\rightarrow \mathbb{R}$ is uniformly continuous.

score 43 · Answer 9 · 2020-07-28 15:29:59

43

Views

Gap between the Uniform and Uniform convergence on compacts topologies

Published on 28 Jul 2020 - 15:29

score 78 · Answer 10 · 2020-07-28 20:30:17

78

Views

Homeomorphism from uniform convergence topology to compact-convergence

Published on 28 Jul 2020 - 20:30

score 56 · Answer 11 · 2020-07-28 23:00:00

56

Views

Proving product of two functions is uniformly continous

Published on 28 Jul 2020 - 23:00

score 331 · Answer 12 · 2020-07-30 14:00:50

331

Views

Proof verification: Baby Rudin Chapter 4 Exercise 8

Published on 30 Jul 2020 - 14:00

score 432 · Answer 13 · 2026-03-29 07:32:14

432

Views

Baby Rudin Exercise 4.13 Alternate Proof Verification

Published on 29 Mar 2026 - 7:32

score 280 · Answer 14 · 2016-07-17 08:54:16

280

Views

$f$ is uniformly continuous only if $g$ is constant

Published on 17 Jul 2016 - 8:54

score 95 · Answer 15 · 2026-03-28 08:42:02

95

Views

$f: \mathbb{R}^{n+1}-\{0\}\rightarrow S^{n}$ via $x \mapsto\frac{x}{\|x\|}$ is continuous

Published on 28 Mar 2026 - 8:42

List Question

Proof that a continuous function on a compact set is uniformly continuous, compact set not containing infimum

Groups where every continuous function is uniformly continuous

Sequential Criterion for the absence of Uniform Continuityy

Geometric intuition about continuous and uniform continuous functions

Show that $f(x)=\frac{1}{\sqrt{x}}$ is uniformly continuous on the domain $(1,\infty)$ but not on the domain $(0,1)$.

Is this statement on non linear ODE works?

Uniformly continuous and differentiable

Let $\alpha>0$. Show that the function $f(x)=1/x$ given by $f:[\alpha,\infty)\rightarrow \mathbb{R}$ is uniformly continuous.

Gap between the Uniform and Uniform convergence on compacts topologies

Homeomorphism from uniform convergence topology to compact-convergence

Proving product of two functions is uniformly continous

Proof verification: Baby Rudin Chapter 4 Exercise 8

Baby Rudin Exercise 4.13 Alternate Proof Verification

$f$ is uniformly continuous only if $g$ is constant

$f: \mathbb{R}^{n+1}-\{0\}\rightarrow S^{n}$ via $x \mapsto\frac{x}{\|x\|}$ is continuous

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