Question

Prove, that power of natural numbers is less than power of real numbers?

score 129 · Answer 1 · 2019-07-18 08:49:09

129

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Prove, that power of natural numbers is less than power of real numbers?

Published on 18 Jul 2019 - 8:49

score 115 · Answer 2 · 2019-07-19 07:47:33

115

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Decomposition of the Cantor set.

Published on 19 Jul 2019 - 7:47

score 53 · Answer 3 · 2026-03-25 15:42:37

53

Views

If $A\subseteq{}^\omega2$ is a Borel set, is $\{x\in{}^\omega2\!:(\exists y\in A)\ x\le y\}$ also a Borel set?

Published on 25 Mar 2026 - 15:42

score 70 · Answer 4 · 2019-08-19 06:30:59

70

Views

Set of $x\in[0,1]$ such that 4 shows up in decimal expansion infinity often

Published on 19 Aug 2019 - 6:30

score 300 · Answer 5 · 2019-08-19 22:07:40

300

Views

Generalized Cantor set vrs Smith–Volterra–Cantor set Folland

Published on 19 Aug 2019 - 22:07

score 107 · Answer 6 · 2026-03-25 23:09:03

107

Views

Points of continuity of Baire class 1 function on Cantor set?

Published on 25 Mar 2026 - 23:09

score 345 · Answer 7 · 2019-09-02 15:11:39

345

Views

From sequence of functions to Cantor function.

Published on 02 Sep 2019 - 15:11

score 163 · Answer 8 · 2019-09-03 17:31:12

163

Views

Let $x$ be a number of the Cantor set, determine the interval to which $x$ belongs.

Published on 03 Sep 2019 - 17:31

score 516 · Answer 9 · 2019-09-08 14:34:54

516

Views

Differentiable A.E. with Positive Derivative Implies Increasing

Published on 08 Sep 2019 - 14:34

score 137 · Answer 10 · 2026-03-25 20:13:49

137

Views

An example of a Lebesgue measurable set which is not a Borel set and why?

Published on 25 Mar 2026 - 20:13

score 41 · Answer 11 · 2019-09-19 21:07:42

41

Views

The image of the Cantor set of functions.

Published on 19 Sep 2019 - 21:07

score 391 · Answer 12 · 2019-09-22 06:55:19

391

Views

End points of Cantor Set

Published on 22 Sep 2019 - 6:55

score 59 · Answer 13 · 2019-09-22 20:43:35

59

Views

Explanation of a statement in proposition 20 in Royden " Real Analysis."

Published on 22 Sep 2019 - 20:43

score 127 · Answer 14 · 2019-09-25 01:59:19

127

Views

Can you have a function $f \colon [0,1] \to \mathbb{R}$ that is only continuous on the Cantor set?

Published on 25 Sep 2019 - 1:59

score 1.2k · Answer 15 · 2026-03-26 01:28:58

1.2k

Views

Homeomorphism between $\prod X_i$ and the Cantor set

Published on 26 Mar 2026 - 1:28

List Question

Prove, that power of natural numbers is less than power of real numbers?

Decomposition of the Cantor set.

If $A\subseteq{}^\omega2$ is a Borel set, is $\{x\in{}^\omega2\!:(\exists y\in A)\ x\le y\}$ also a Borel set?

Set of $x\in[0,1]$ such that 4 shows up in decimal expansion infinity often

Generalized Cantor set vrs Smith–Volterra–Cantor set Folland

Points of continuity of Baire class 1 function on Cantor set?

From sequence of functions to Cantor function.

Let $x$ be a number of the Cantor set, determine the interval to which $x$ belongs.

Differentiable A.E. with Positive Derivative Implies Increasing

An example of a Lebesgue measurable set which is not a Borel set and why?

The image of the Cantor set of functions.

End points of Cantor Set

Explanation of a statement in proposition 20 in Royden " Real Analysis."

Can you have a function $f \colon [0,1] \to \mathbb{R}$ that is only continuous on the Cantor set?

Homeomorphism between $\prod X_i$ and the Cantor set

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