Question

Prob. 6, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a normal space under a closed continuous map is also normal

score 505 · Answer 1 · 2026-03-25 11:23:35

505

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Prob. 6, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a normal space under a closed continuous map is also normal

Published on 25 Mar 2026 - 11:23

score 80 · Answer 2 · 2026-04-13 08:13:50

80

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Is it possible to have a function that has a first, but not a second, derivative at some point or throughout some interval?

Published on 13 Apr 2026 - 8:13

score 57 · Answer 3 · 2026-04-08 20:48:31

57

Views

Composition of everywhere discontinuous bijection with itself, limit, and continuity

Published on 08 Apr 2026 - 20:48

score 1.2k · Answer 4 · 2026-04-09 18:36:23

1.2k

Views

When is the Jacobian continuous?

Published on 09 Apr 2026 - 18:36

score 1.8k · Answer 5 · 2026-04-09 08:48:18

1.8k

Views

Continuous mapping of Cantor Set to $[0,1]$

Published on 09 Apr 2026 - 8:48

score 139 · Answer 6 · 2026-04-12 19:27:09

139

Views

Can everywhere discontinuous function map every non-empty open interval $I$ onto itself?

Published on 12 Apr 2026 - 19:27

score 55 · Answer 7 · 2026-04-11 09:33:01

55

Views

Show that partial derivative is continuous

Published on 11 Apr 2026 - 9:33

score 120 · Answer 8 · 2026-04-12 14:47:25

120

Views

continuity of a multivariable function at a point

Published on 12 Apr 2026 - 14:47

score 1.7k · Answer 9 · 2026-04-12 03:34:15

1.7k

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Show that multivariable function is continuous but not differentiable

Published on 12 Apr 2026 - 3:34

score 62 · Answer 10 · 2019-06-22 16:23:58

62

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The number of points such that $f(x) = 0$ is finite where $f$ is continous

Published on 22 Jun 2019 - 16:23

score 335 · Answer 11 · 2026-03-26 06:31:13

335

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Limit of composite function: $\lim_{t \to 0} [\frac{\sin(\tan(t))}{\tan(t)}]$

Published on 26 Mar 2026 - 6:31

score 188 · Answer 12 · 2026-04-13 12:34:17

188

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Why is it enough for $\lim\limits_{h \to 0} \vert f(x+h)-f(x)\vert = 0$ to show uniform continuity

Published on 13 Apr 2026 - 12:34

score 65 · Answer 13 · 2026-03-25 19:06:42

65

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What is the average value of $x + \sqrt{2}\, y$ over all integer points in the ellipse $x^2 + 2y^2 < N$?

Published on 25 Mar 2026 - 19:06

score 207 · Answer 14 · 2026-04-12 00:20:40

207

Views

Counter example for continuity and limit

Published on 12 Apr 2026 - 0:20

score 87 · Answer 15 · 2026-04-01 04:38:24

87

Views

Confused on a theorem 4.25 in Apostol’s mathematical analysis

Published on 01 Apr 2026 - 4:38

List Question

Prob. 6, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a normal space under a closed continuous map is also normal

Is it possible to have a function that has a first, but not a second, derivative at some point or throughout some interval?

Composition of everywhere discontinuous bijection with itself, limit, and continuity

When is the Jacobian continuous?

Continuous mapping of Cantor Set to $[0,1]$

Can everywhere discontinuous function map every non-empty open interval $I$ onto itself?

Show that partial derivative is continuous

continuity of a multivariable function at a point

Show that multivariable function is continuous but not differentiable

The number of points such that $f(x) = 0$ is finite where $f$ is continous

Limit of composite function: $\lim_{t \to 0} [\frac{\sin(\tan(t))}{\tan(t)}]$

Why is it enough for $\lim\limits_{h \to 0} \vert f(x+h)-f(x)\vert = 0$ to show uniform continuity

What is the average value of $x + \sqrt{2}\, y$ over all integer points in the ellipse $x^2 + 2y^2 < N$?

Counter example for continuity and limit

Confused on a theorem 4.25 in Apostol’s mathematical analysis

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