Question

How to prove $\mathbb{R}^n < \mathbb{N}^\mathbb{R}$

score 63 · Answer 1 · 2019-01-28 17:08:20

63

Views

How to prove $\mathbb{R}^n < \mathbb{N}^\mathbb{R}$

Published on 28 Jan 2019 - 17:08

score 114 · Answer 2 · 2019-01-28 21:05:01

114

Views

Show that the cardinal of $ A := \left\{ k \in \mathbf{Z} | 0 \leq k \leq n \text{ and } \binom{n}{k} \text{ is odd} \right\} $ is a power of 2

Published on 28 Jan 2019 - 21:05

score 126 · Answer 3 · 2019-01-30 14:47:11

126

Views

Find the cardinality of $A= \left\{ f : \mathbb N \rightarrow \mathbb N \mid \forall x:f(x)\le x\right\}$

Published on 30 Jan 2019 - 14:47

score 115 · Answer 4 · 2019-02-02 01:19:15

115

Views

Explicit example of $C \subset \mathbb{R}$ with a single certain type of condensation point... if such is even doable.

Published on 02 Feb 2019 - 1:19

score 210 · Answer 5 · 2026-03-25 09:31:35

210

Views

Are infinite indexes multiplicative?

Published on 25 Mar 2026 - 9:31

score 48 · Answer 6 · 2019-02-05 05:13:35

48

Views

Question about the existence of sets

Published on 05 Feb 2019 - 5:13

score 107 · Answer 7 · 2019-02-09 22:19:17

107

Views

Set of various order types of a set

Published on 09 Feb 2019 - 22:19

score 127 · Answer 8 · 2019-02-10 03:10:32

127

Views

Value of the cardinal product $\aleph_1 \cdot \mathfrak{c}$

Published on 10 Feb 2019 - 3:10

score 88 · Answer 9 · 2019-02-13 07:43:50

88

Views

Cardinality of all cardinal numbers less than a given cardinal

Published on 13 Feb 2019 - 7:43

score 222 · Answer 10 · 2019-02-14 11:20:27

222

Views

cardinality of all cardinal numbers less than a cardinal number

Published on 14 Feb 2019 - 11:20

score 72 · Answer 11 · 2019-02-14 12:37:14

72

Views

Cardinal number of the Banach space $c_0(A)$

Published on 14 Feb 2019 - 12:37

score 336 · Answer 12 · 2019-02-17 03:37:27

336

Views

Why is the definition of cardinal number as the set of all sets equivalent to a given set "problematical"?

Published on 17 Feb 2019 - 3:37

score 194 · Answer 13 · 2019-02-18 16:33:27

194

Views

what is the cardinality (or algebraic dimension) of a hilbert space over a cardinal $\kappa$?

Published on 18 Feb 2019 - 16:33

score 74 · Answer 14 · 2019-02-19 20:56:06

74

Views

An ordinal equipotent to a natural number is equal to that number

Published on 19 Feb 2019 - 20:56

score 71 · Answer 15 · 2026-03-26 12:07:03

71

Views

Decomposition of an $\aleph_1$ set into $\aleph_1$ sets $\aleph_1$

Published on 26 Mar 2026 - 12:07

List Question

How to prove $\mathbb{R}^n < \mathbb{N}^\mathbb{R}$

Show that the cardinal of $ A := \left\{ k \in \mathbf{Z} | 0 \leq k \leq n \text{ and } \binom{n}{k} \text{ is odd} \right\} $ is a power of 2

Find the cardinality of $A= \left\{ f : \mathbb N \rightarrow \mathbb N \mid \forall x:f(x)\le x\right\}$

Explicit example of $C \subset \mathbb{R}$ with a single certain type of condensation point... if such is even doable.

Are infinite indexes multiplicative?

Question about the existence of sets

Set of various order types of a set

Value of the cardinal product $\aleph_1 \cdot \mathfrak{c}$

Cardinality of all cardinal numbers less than a given cardinal

cardinality of all cardinal numbers less than a cardinal number

Cardinal number of the Banach space $c_0(A)$

Why is the definition of cardinal number as the set of all sets equivalent to a given set "problematical"?

what is the cardinality (or algebraic dimension) of a hilbert space over a cardinal $\kappa$?

An ordinal equipotent to a natural number is equal to that number

Decomposition of an $\aleph_1$ set into $\aleph_1$ sets $\aleph_1$

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