List questions from cardinals

Published on 08 Nov 2017 - 0:50

337

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Describe an injective function from the real numbers to the real numbers that is not a bijection

Published on 09 Nov 2017 - 3:19

354

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Cardinality "arithmetic" on infinite sets

Published on 09 Nov 2017 - 3:40

114

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Prove that: $f(n-1)f(n+1)\le [f(n)]^2$? for all $n$

Published on 09 Nov 2017 - 19:21

105

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Example of splitting family

Published on 09 Nov 2017 - 19:27

29

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Cardinal of $\prod_{n}^{}2^n$

Published on 10 Nov 2017 - 7:56

25

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Countability of minimal and maximal elements.

Published on 10 Nov 2017 - 11:38

63

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The Mitchell order, unclear step in the proof of well-foundedness

Published on 29 Mar 2026 - 20:55

92

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Disproving existence of a bijective map

Published on 15 Nov 2017 - 14:30

64

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Cardinality without Axiom of Choice

Published on 15 Nov 2017 - 16:04

531

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Prove that the set of natural numbers (in base 10) with exactly one of the digits equal to 7 is countably infinite.

Published on 16 Nov 2017 - 5:13

72

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Number of clubs in a cardinal

Published on 17 Nov 2017 - 0:09

5.2k

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Prove that $|\mathbb{R}| = |(0, 1)|$.

Published on 17 Nov 2017 - 4:04

777

Views

Cardinality of infinite direct sum of Z/2Z

Published on 17 Nov 2017 - 19:14

40

Views

Show that $P(\mathbb{N})$ is equivalent to $2^\mathbb{N}$

Published on 19 Nov 2017 - 17:01

List Question

Surjective function from a lower rank domain to a higher one

Describe an injective function from the real numbers to the real numbers that is not a bijection

Cardinality "arithmetic" on infinite sets

Prove that: $f(n-1)f(n+1)\le [f(n)]^2$? for all $n$

Example of splitting family

Cardinal of $\prod_{n}^{}2^n$

Countability of minimal and maximal elements.

The Mitchell order, unclear step in the proof of well-foundedness

Disproving existence of a bijective map

Cardinality without Axiom of Choice

Prove that the set of natural numbers (in base 10) with exactly one of the digits equal to 7 is countably infinite.

Number of clubs in a cardinal

Prove that $|\mathbb{R}| = |(0, 1)|$.

Cardinality of infinite direct sum of Z/2Z

Show that $P(\mathbb{N})$ is equivalent to $2^\mathbb{N}$

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