Question

Does there exist an injection $f:\mathbb{R}\to P(\mathbb{N})$ that satisfies these conditions?

score 141 · Answer 1 · 2017-10-15 17:09:53

141

Views

Does there exist an injection $f:\mathbb{R}\to P(\mathbb{N})$ that satisfies these conditions?

Published on 15 Oct 2017 - 17:09

score 86 · Answer 2 · 2017-10-16 21:49:20

86

Views

Do we have $|\mathbb{Q}\times\mathbb{Q} | = |\mathbb{Q}|?$ or $|]a,b[|= |\mathbb{R}|$?

Published on 16 Oct 2017 - 21:49

score 3.1k · Answer 3 · 2017-10-17 04:09:59

3.1k

Views

Elegant way to make a bijection from the set of the complex numbers to the set of the real numbers

Published on 17 Oct 2017 - 4:09

score 38 · Answer 4 · 2017-10-18 01:12:50

38

Views

A condition for $\mathcal{U}$ to be irregular

Published on 18 Oct 2017 - 1:12

score 317 · Answer 5 · 2026-03-29 19:11:12

317

Views

Why a Grothendieck universe contains cardinalities of all its elements?

Published on 29 Mar 2026 - 19:11

score 33 · Answer 6 · 2017-10-18 04:10:31

33

Views

To prove whether the given set is countable or not

Published on 18 Oct 2017 - 4:10

score 222 · Answer 7 · 2017-10-19 21:26:59

222

Views

Cardinality of perfect set in compete metric space is at least continuum

Published on 19 Oct 2017 - 21:26

score 138 · Answer 8 · 2017-10-20 05:39:40

138

Views

Cofinality and partitions of a cardinal

Published on 20 Oct 2017 - 5:39

score 1.2k · Answer 9 · 2026-03-26 12:53:53

1.2k

Views

Models of first-order logic and cardinalities of the domain

Published on 26 Mar 2026 - 12:53

score 202 · Answer 10 · 2017-10-22 14:19:53

202

Views

Linearly ordered Set with countably dense subset.

Published on 22 Oct 2017 - 14:19

score 141 · Answer 11 · 2026-04-05 22:36:25

141

Views

Is countable choice sufficient for the set of countable subsets of $\mathbb{R}$ to be equipotent with $\mathbb{R}$?

Published on 05 Apr 2026 - 22:36

score 31 · Answer 12 · 2017-10-23 01:31:29

Do $|\mathbb{Z}^{+}| < |\mathcal{P}(\mathbb{Z}^{+})|$ and $|\mathcal{P}(\mathbb{Z}^{+})| \leq |\mathbb{R}|$ imply $|\mathbb{Z}^{+}| < |\mathbb{R}|$?

score 146 · Answer 13 · 2026-03-29 20:56:03

146

Views

The Singular Cardinal Hypothesis holds above a compact cardinal

Published on 29 Mar 2026 - 20:56

score 503 · Answer 14 · 2017-10-23 20:31:12

503

Views

Bijection between the set of all polynomials and $\mathbb{R}^\mathbb{N}$

Published on 23 Oct 2017 - 20:31

score 68 · Answer 15 · 2026-03-25 15:39:41

68

Views

$V_\alpha, X \in V_\alpha$ and $|X|$.

Published on 25 Mar 2026 - 15:39

List Question

Does there exist an injection $f:\mathbb{R}\to P(\mathbb{N})$ that satisfies these conditions?

Do we have $|\mathbb{Q}\times\mathbb{Q} | = |\mathbb{Q}|?$ or $|]a,b[|= |\mathbb{R}|$?

Elegant way to make a bijection from the set of the complex numbers to the set of the real numbers

A condition for $\mathcal{U}$ to be irregular

Why a Grothendieck universe contains cardinalities of all its elements?

To prove whether the given set is countable or not

Cardinality of perfect set in compete metric space is at least continuum

Cofinality and partitions of a cardinal

Models of first-order logic and cardinalities of the domain

Linearly ordered Set with countably dense subset.

Is countable choice sufficient for the set of countable subsets of $\mathbb{R}$ to be equipotent with $\mathbb{R}$?

Do $|\mathbb{Z}^{+}| < |\mathcal{P}(\mathbb{Z}^{+})|$ and $|\mathcal{P}(\mathbb{Z}^{+})| \leq |\mathbb{R}|$ imply $|\mathbb{Z}^{+}| < |\mathbb{R}|$?

The Singular Cardinal Hypothesis holds above a compact cardinal

Bijection between the set of all polynomials and $\mathbb{R}^\mathbb{N}$

$V_\alpha, X \in V_\alpha$ and $|X|$.

Trending Questions

Popular # Hahtags

Popular Questions