Question

Prove that a non-decreasing function $F$ with the properties $F(0) = 0$, $F(x/3)=F(x)/2$ and $F(1-x) = 1 - F(x)$ is the Cantor function

score 103 · Answer 1 · 2020-07-26 21:52:11

Prove that a non-decreasing function $F$ with the properties $F(0) = 0$, $F(x/3)=F(x)/2$ and $F(1-x) = 1 - F(x)$ is the Cantor function

score 98 · Answer 2 · 2020-07-31 08:46:07

98

Views

Binary sequence and Cantor set

Published on 31 Jul 2020 - 8:46

score 191 · Answer 3 · 2026-03-25 14:22:27

191

Views

A Möbius transformation to prove that Cantor set is a homogeneous space

Published on 25 Mar 2026 - 14:22

score 1k · Answer 4 · 2016-07-19 13:54:39

1k

Views

Cantor Set ternary representation

Published on 19 Jul 2016 - 13:54

score 624 · Answer 5 · 2016-07-20 04:03:24

624

Views

Fundamental group of the plane minus a Cantor set

Published on 20 Jul 2016 - 4:03

score 83 · Answer 6 · 2016-07-21 07:41:06

83

Views

For which value of "d" cantor set has lebesgue measure zero?

Published on 21 Jul 2016 - 7:41

score 2.3k · Answer 7 · 2016-07-27 18:54:24

2.3k

Views

General structure of the proof that every compact metric space is the continuous image of the Cantor set

Published on 27 Jul 2016 - 18:54

score 322 · Answer 8 · 2016-07-30 13:08:14

322

Views

How to obtain both obtain closed formula for the Cantor set?

Published on 30 Jul 2016 - 13:08

score 184 · Answer 9 · 2016-08-04 21:28:01

184

Views

Where are the irrationals in this set?

Published on 04 Aug 2016 - 21:28

score 527 · Answer 10 · 2016-08-17 05:23:14

527

Views

Cantor sets of positive measure

Published on 17 Aug 2016 - 5:23

score 224 · Answer 11 · 2026-03-26 06:08:07

224

Views

Part of proof of homeomorphism from Cantor set ot infinite product of {0,1}, user254665's approach

Published on 26 Mar 2026 - 6:08

score 115 · Answer 12 · 2026-03-26 14:23:04

115

Views

Forming a homeomorphism between perfect closed set of measure $\alpha; 0<\alpha<1$ and the Cantor set.

Published on 26 Mar 2026 - 14:23

score 508 · Answer 13 · 2016-08-28 13:39:34

508

Views

How to see that this definition of Cantor Lebesgue function is equivalent

Published on 28 Aug 2016 - 13:39

score 373 · Answer 14 · 2016-09-04 22:07:20

373

Views

Open set containing cantor set

Published on 04 Sep 2016 - 22:07

score 1.6k · Answer 15 · 2016-09-15 21:34:14

1.6k

Views

Real analysis contradiction I cannot get rid of

Published on 15 Sep 2016 - 21:34

List Question

Prove that a non-decreasing function $F$ with the properties $F(0) = 0$, $F(x/3)=F(x)/2$ and $F(1-x) = 1 - F(x)$ is the Cantor function

Binary sequence and Cantor set

A Möbius transformation to prove that Cantor set is a homogeneous space

Cantor Set ternary representation

Fundamental group of the plane minus a Cantor set

For which value of "d" cantor set has lebesgue measure zero?

General structure of the proof that every compact metric space is the continuous image of the Cantor set

How to obtain both obtain closed formula for the Cantor set?

Where are the irrationals in this set?

Cantor sets of positive measure

Part of proof of homeomorphism from Cantor set ot infinite product of {0,1}, user254665's approach

Forming a homeomorphism between perfect closed set of measure $\alpha; 0<\alpha<1$ and the Cantor set.

How to see that this definition of Cantor Lebesgue function is equivalent

Open set containing cantor set

Real analysis contradiction I cannot get rid of

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