Question

Every function can $f \colon \mathbb R \to \mathbb R$ can be represented as the sum of two one-to-one functions

score 68 · Answer 1 · 2017-12-13 16:15:58

68

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Every function can $f \colon \mathbb R \to \mathbb R$ can be represented as the sum of two one-to-one functions

Published on 13 Dec 2017 - 16:15

score 3.1k · Answer 2 · 2026-03-14 00:13:39

3.1k

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Transfinite Induction and the Axiom of Choice

Published on 14 Mar 2026 - 0:13

score 9.3k · Answer 3 · 2026-03-14 08:01:19

9.3k

Views

Examples of transfinite induction

Published on 14 Mar 2026 - 8:01

score 749 · Answer 4 · 2026-03-14 00:27:45

749

Views

Application of Transfinite Induction

Published on 14 Mar 2026 - 0:27

score 69 · Answer 5 · 2020-08-08 11:43:23

69

Views

Prove the limit step for $\Gamma (\alpha, \alpha)\le \omega^\alpha$

Published on 08 Aug 2020 - 11:43

score 72 · Answer 6 · 2020-08-24 10:22:16

72

Views

Couldn't we state the principle of transfinite induction without the $0 \in A$ condition?

Published on 24 Aug 2020 - 10:22

score 310 · Answer 7 · 2020-08-31 10:25:58

310

Views

Recursion theorem for ordinals proof

Published on 31 Aug 2020 - 10:25

score 83 · Answer 8 · 2020-09-11 20:46:06

83

Views

Function with specific property

Published on 11 Sep 2020 - 20:46

score 84 · Answer 9 · 2020-10-21 06:39:40

84

Views

Is the principle of transfinite induction (PTI) always not true on a set that is not well ordered?

Published on 21 Oct 2020 - 6:39

score 43 · Answer 10 · 2020-11-22 23:17:52

43

Views

How does Cohen's theorem of transfinite induction relate to the the reagular (or more modern) one?

Published on 22 Nov 2020 - 23:17

score 76 · Answer 11 · 2020-12-24 19:04:47

76

Views

Continuous function by transfinite induction

Published on 24 Dec 2020 - 19:04

score 57 · Answer 12 · 2021-01-04 19:53:47

57

Views

Why does creating the basis of any vector space using dense order instead of well order fail in general case?

Published on 04 Jan 2021 - 19:53

score 55 · Answer 13 · 2021-01-07 21:48:27

55

Views

Meager set and disjoint with line $y=ax$

Published on 07 Jan 2021 - 21:48

score 68 · Answer 14 · 2021-01-10 13:27:47

68

Views

"Proof" that every ultrafilter has a least element

Published on 10 Jan 2021 - 13:27

score 107 · Answer 15 · 2021-01-11 16:13:43

107

Views

Complement of the product of Bernstein set and meager set

Published on 11 Jan 2021 - 16:13

List Question

Every function can $f \colon \mathbb R \to \mathbb R$ can be represented as the sum of two one-to-one functions

Transfinite Induction and the Axiom of Choice

Examples of transfinite induction

Application of Transfinite Induction

Prove the limit step for $\Gamma (\alpha, \alpha)\le \omega^\alpha$

Couldn't we state the principle of transfinite induction without the $0 \in A$ condition?

Recursion theorem for ordinals proof

Function with specific property

Is the principle of transfinite induction (PTI) always not true on a set that is not well ordered?

How does Cohen's theorem of transfinite induction relate to the the reagular (or more modern) one?

Continuous function by transfinite induction

Why does creating the basis of any vector space using dense order instead of well order fail in general case?

Meager set and disjoint with line $y=ax$

"Proof" that every ultrafilter has a least element

Complement of the product of Bernstein set and meager set

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