Question

The Ultrafilter Principle as a midway between Axiom of Choice and the Axiom of Choice for Finite Sets?

score 143 · Answer 1 · 2019-08-19 21:41:41

143

Views

The Ultrafilter Principle as a midway between Axiom of Choice and the Axiom of Choice for Finite Sets?

Published on 19 Aug 2019 - 21:41

score 215 · Answer 2 · 2026-03-25 17:42:25

215

Views

Ultrafilter principle and Axiom of Dependent Choice as 'nonconstructive and constructive' components of the Axiom of Choice

Published on 25 Mar 2026 - 17:42

score 177 · Answer 3 · 2019-08-24 01:50:45

177

Views

If the Power Set of $S$ is an infinite Dedekind-finite set, what can be concluded about $S$?

Published on 24 Aug 2019 - 1:50

score 105 · Answer 4 · 2019-08-24 18:28:25

105

Views

Ultrafilter Principle + Hausdorffness as a substitute of the Axiom of Choice

Published on 24 Aug 2019 - 18:28

score 72 · Answer 5 · 2019-08-27 15:02:11

72

Views

Is group homomorphism $F: SO(3) \to \mathbb R-\{0\}$ unique?

Published on 27 Aug 2019 - 15:02

score 97 · Answer 6 · 2026-03-27 21:56:23

97

Views

Existence of A Linear Right Inverse Between Finite Dimensional Vector Spaces

Published on 27 Mar 2026 - 21:56

score 178 · Answer 7 · 2019-08-28 20:57:46

178

Views

Axiom of Choice as a tool for proving measurability

Published on 28 Aug 2019 - 20:57

score 101 · Answer 8 · 2019-08-29 13:30:57

101

Views

Axiom of Choice for finite vs infinite product of sets

Published on 29 Aug 2019 - 13:30

score 64 · Answer 9 · 2026-03-26 12:35:21

64

Views

List of theorems equivalent to choice

Published on 26 Mar 2026 - 12:35

score 114 · Answer 10 · 2019-09-02 17:00:14

114

Views

Difficulty understanding Axiom of Choice

Published on 02 Sep 2019 - 17:00

score 57 · Answer 11 · 2019-09-05 08:34:44

57

Views

Let $X,Y$ be metric spaces. Then a function $f:X \to Y$ is continuous at $x$ if and only if $f$ is sequentially continuous at $x$

Published on 05 Sep 2019 - 8:34

score 109 · Answer 12 · 2019-09-05 08:57:37

109

Views

Transversal duality for upwards-closed subsets of ${\cal P}(X)$

Published on 05 Sep 2019 - 8:57

score 98 · Answer 13 · 2019-09-09 07:48:30

98

Views

What’s ‘Function’ in Axiom of Choice?

Published on 09 Sep 2019 - 7:48

score 179 · Answer 14 · 2026-03-28 01:35:19

179

Views

How to decide the cardinality of $\{\text{all group isomorphisms from }(\mathbb{R},+)\text{ onto }(\mathbb{R}^+,\cdot)\}$?

Published on 28 Mar 2026 - 1:35

score 362 · Answer 15 · 2019-09-24 02:36:49

362

Views

Can the set of endomorphisms of $(\mathbb{R},+)$ have cardinality strictly between $\mathfrak c^ c$ and $\frak c $?

Published on 24 Sep 2019 - 2:36

List Question

The Ultrafilter Principle as a midway between Axiom of Choice and the Axiom of Choice for Finite Sets?

Ultrafilter principle and Axiom of Dependent Choice as 'nonconstructive and constructive' components of the Axiom of Choice

If the Power Set of $S$ is an infinite Dedekind-finite set, what can be concluded about $S$?

Ultrafilter Principle + Hausdorffness as a substitute of the Axiom of Choice

Is group homomorphism $F: SO(3) \to \mathbb R-\{0\}$ unique?

Existence of A Linear Right Inverse Between Finite Dimensional Vector Spaces

Axiom of Choice as a tool for proving measurability

Axiom of Choice for finite vs infinite product of sets

List of theorems equivalent to choice

Difficulty understanding Axiom of Choice

Let $X,Y$ be metric spaces. Then a function $f:X \to Y$ is continuous at $x$ if and only if $f$ is sequentially continuous at $x$

Transversal duality for upwards-closed subsets of ${\cal P}(X)$

What’s ‘Function’ in Axiom of Choice?

How to decide the cardinality of $\{\text{all group isomorphisms from }(\mathbb{R},+)\text{ onto }(\mathbb{R}^+,\cdot)\}$?

Can the set of endomorphisms of $(\mathbb{R},+)$ have cardinality strictly between $\mathfrak c^ c$ and $\frak c $?

Trending Questions

Popular # Hahtags

Popular Questions