Question

real analysis - Uniformly continuous functions

score 44 · Answer 1 · 2026-04-09 02:14:21

44

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real analysis - Uniformly continuous functions

Published on 09 Apr 2026 - 2:14

score 511 · Answer 2 · 2026-04-10 23:58:13

511

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Does the union of two circles have the fixed-point property?

Published on 10 Apr 2026 - 23:58

score 1.1k · Answer 3 · 2026-04-11 13:16:43

1.1k

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If $f_n\to f$ pointwise, $f$ is continuous and $f$ is continuous, then $f_n \to f$ uniformly.

Published on 11 Apr 2026 - 13:16

score 897 · Answer 4 · 2026-03-25 08:07:50

897

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Inverse image of singleton sets under continuous map between compact Hausdorff topological spaces

Published on 25 Mar 2026 - 8:07

score 118 · Answer 5 · 2026-04-11 08:41:54

118

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Are the two definitions of continuous function the same without axiom of choice?

Published on 11 Apr 2026 - 8:41

score 187 · Answer 6 · 2019-04-01 07:32:23

187

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Show that the equation $x^5+x^4=1$ has a unique solution.

Published on 01 Apr 2019 - 7:32

score 66 · Answer 7 · 2026-04-11 09:37:18

66

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Finding the limit of a differentiable, continuous function

Published on 11 Apr 2026 - 9:37

score 46 · Answer 8 · 2026-03-26 21:27:35

46

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Real Analysis: The continuity of $\frac {1}{1-x}$ on the interval $[0,1).$

Published on 26 Mar 2026 - 21:27

score 194 · Answer 9 · 2026-04-10 19:05:57

194

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Is a composition of a Lipschitz continuous function with a Continuously Differentiable function Lipschitz over an unbounded set?

Published on 10 Apr 2026 - 19:05

score 271 · Answer 10 · 2026-04-10 22:43:54

271

Views

Proving that a function is uniformly continuous having the limit

Published on 10 Apr 2026 - 22:43

score 77 · Answer 11 · 2019-04-01 21:24:27

77

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Continuity of the function $\frac{1}{\tan{x}+\sqrt{3}}$

Published on 01 Apr 2019 - 21:24

score 751 · Answer 12 · 2026-04-09 01:22:26

751

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Hahn Banach Theorem implying existence of a nonzero linear functional taking 0 in a linear subspace

Published on 09 Apr 2026 - 1:22

score 78 · Answer 13 · 2026-04-11 09:06:25

78

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Uniform Convergence continuous

Published on 11 Apr 2026 - 9:06

score 51 · Answer 14 · 2026-04-11 13:16:12

51

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continuity of the function $f(x)=\lim_{n\to \infty}\sum_{k=0}^{n-1} \dfrac{x}{(kx+1)[(k+1)x+1]}$

Published on 11 Apr 2026 - 13:16

score 28 · Answer 15 · 2026-04-11 01:11:16

28

Views

A continuously differentiable operator has no isolated points

Published on 11 Apr 2026 - 1:11

List Question

real analysis - Uniformly continuous functions

Does the union of two circles have the fixed-point property?

If $f_n\to f$ pointwise, $f$ is continuous and $f$ is continuous, then $f_n \to f$ uniformly.

Inverse image of singleton sets under continuous map between compact Hausdorff topological spaces

Are the two definitions of continuous function the same without axiom of choice?

Show that the equation $x^5+x^4=1$ has a unique solution.

Finding the limit of a differentiable, continuous function

Real Analysis: The continuity of $\frac {1}{1-x}$ on the interval $[0,1).$

Is a composition of a Lipschitz continuous function with a Continuously Differentiable function Lipschitz over an unbounded set?

Proving that a function is uniformly continuous having the limit

Continuity of the function $\frac{1}{\tan{x}+\sqrt{3}}$

Hahn Banach Theorem implying existence of a nonzero linear functional taking 0 in a linear subspace

Uniform Convergence continuous

continuity of the function $f(x)=\lim_{n\to \infty}\sum_{k=0}^{n-1} \dfrac{x}{(kx+1)[(k+1)x+1]}$

A continuously differentiable operator has no isolated points

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