Question

Show that the Cantor set is isomorphic to any compact set without interior points nor isolated points

score 65 · Answer 1 · 2023-02-07 19:38:01

65

Views

Show that the Cantor set is isomorphic to any compact set without interior points nor isolated points

Published on 07 Feb 2023 - 19:38

score 99 · Answer 2 · 2023-02-08 12:16:25

99

Views

Trouble understanding the "Modified Cantor sets" $C_{M,N}$

Published on 08 Feb 2023 - 12:16

score 266 · Answer 3 · 2023-02-10 14:37:22

266

Views

Cantor set - is it made of $[a,b]$ intervals or exclusively of singletons?

Published on 10 Feb 2023 - 14:37

score 123 · Answer 4 · 2023-02-11 06:49:26

123

Views

Cantor ternary function

Published on 11 Feb 2023 - 6:49

score 193 · Answer 5 · 2023-02-11 16:21:27

193

Views

Why, for Menger Sponge (3D generalization of Cantor Set and Sierpiński Triangle), there exists area surface? Shouldn't it be zero instead of infinite?

Published on 11 Feb 2023 - 16:21

score 79 · Answer 6 · 2023-02-15 08:49:47

79

Views

Representing the points of a doubly deleted Cantor set with a generic parameters $\alpha, \beta$

Published on 15 Feb 2023 - 8:49

score 52 · Answer 7 · 2023-02-22 06:01:59

52

Views

What's the average dimension of the Cantor sets?

Published on 22 Feb 2023 - 6:01

score 323 · Answer 8 · 2023-02-23 04:48:05

323

Views

Show that the Cantor set is totally disconnected

Published on 23 Feb 2023 - 4:48

score 107 · Answer 9 · 2023-02-28 00:17:18

107

Views

The graph of a continuous function defined on a general open/closed set has measure zero (without Fubini)

Published on 28 Feb 2023 - 0:17

score 157 · Answer 10 · 2023-03-07 15:12:26

157

Views

Prove that $f$ crosses the x-axis at every point in the Cantor set and that $f$ is continuous

Published on 07 Mar 2023 - 15:12

score 63 · Answer 11 · 2026-03-26 17:52:41

63

Views

On physical measure on post-critical set for unimodal map

Published on 26 Mar 2026 - 17:52

score 26 · Answer 12 · 2026-03-25 09:25:34

26

Views

Confusion over dense level sets of the Takagi function

Published on 25 Mar 2026 - 9:25

score 152 · Answer 13 · 2023-04-06 21:30:48

152

Views

Understanding why the Cantor function maps some Lebesgue measurable subset to a non measurable one

Published on 06 Apr 2023 - 21:30

score 167 · Answer 14 · 2023-04-16 08:07:05

167

Views

Irrational numbers in the Cantor set. ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Published on 16 Apr 2023 - 8:07

score 97 · Answer 15 · 2026-03-26 19:20:13

97

Views

Given any $k\in\Bbb{N}$ there exists $k$ consecutive composite integers such that reciprocal of each composite integer is a Cantor point then $k=1$

Published on 26 Mar 2026 - 19:20

List Question

Show that the Cantor set is isomorphic to any compact set without interior points nor isolated points

Trouble understanding the "Modified Cantor sets" $C_{M,N}$

Cantor set - is it made of $[a,b]$ intervals or exclusively of singletons?

Cantor ternary function

Why, for Menger Sponge (3D generalization of Cantor Set and Sierpiński Triangle), there exists area surface? Shouldn't it be zero instead of infinite?

Representing the points of a doubly deleted Cantor set with a generic parameters $\alpha, \beta$

What's the average dimension of the Cantor sets?

Show that the Cantor set is totally disconnected

The graph of a continuous function defined on a general open/closed set has measure zero (without Fubini)

Prove that $f$ crosses the x-axis at every point in the Cantor set and that $f$ is continuous

On physical measure on post-critical set for unimodal map

Confusion over dense level sets of the Takagi function

Understanding why the Cantor function maps some Lebesgue measurable subset to a non measurable one

Irrational numbers in the Cantor set. ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Given any $k\in\Bbb{N}$ there exists $k$ consecutive composite integers such that reciprocal of each composite integer is a Cantor point then $k=1$

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