Question

What is the precise relationship between $\omega+1$ and any convergent sequence?

score 82 · Answer 1 · 2016-08-01 05:11:15

82

Views

What is the precise relationship between $\omega+1$ and any convergent sequence?

Published on 01 Aug 2016 - 5:11

score 235 · Answer 2 · 2016-08-08 04:08:13

235

Views

Topologically, what distinguishes $\mathbb{R}$ and $\mathbb{R}^2$

Published on 08 Aug 2016 - 4:08

score 125 · Answer 3 · 2016-08-10 22:42:28

125

Views

Is it an axiom of set theory that $|\mathbb N| = \omega$?

Published on 10 Aug 2016 - 22:42

score 584 · Answer 4 · 2026-03-29 03:03:54

584

Views

Are there topological properties that are finitely productive but not countably productive?

Published on 29 Mar 2026 - 3:03

score 718 · Answer 5 · 2026-03-29 13:22:59

718

Views

Is $\lim\limits_{n\rightarrow\infty} n$ comparable to $\aleph_0$?

Published on 29 Mar 2026 - 13:22

score 101 · Answer 6 · 2016-08-18 16:03:20

101

Views

Let $F$ be an infinite field. Then is it true that there does not exist any surjection from $F$ onto $F[x]$?

Published on 18 Aug 2016 - 16:03

score 9k · Answer 7 · 2016-08-18 16:39:54

9k

Views

Cardinality of $[0,1]$ and $\mathbb{R}$

Published on 18 Aug 2016 - 16:39

score 2.6k · Answer 8 · 2016-08-18 19:06:50

2.6k

Views

Cardinality of cartesian product of an infinite set with N

Published on 18 Aug 2016 - 19:06

score 962 · Answer 9 · 2026-03-25 06:05:24

962

Views

All maximal independent sets of a matroid have the same cardinality

Published on 25 Mar 2026 - 6:05

score 167 · Answer 10 · 2016-08-20 20:24:21

167

Views

Detail of the proof that the cardinality of a $\sigma$-algebra containing an infinite number of sets is uncountable

Published on 20 Aug 2016 - 20:24

score 202 · Answer 11 · 2016-08-21 16:28:41

202

Views

Uncountable collection of cardinals, without the axiom of choice

Published on 21 Aug 2016 - 16:28

score 72 · Answer 12 · 2016-08-22 02:01:19

72

Views

Undecidable in ZFC X<Y implies PX<PY

Published on 22 Aug 2016 - 2:01

score 218 · Answer 13 · 2016-08-22 13:44:49

218

Views

link between cardinality and measurability (and continuum hypothesis)

Published on 22 Aug 2016 - 13:44

score 47 · Answer 14 · 2016-08-23 03:47:42

47

Views

Ordering power sets by cardinality

Published on 23 Aug 2016 - 3:47

score 164 · Answer 15 · 2016-08-25 13:34:00

164

Views

Equivalence relations and Schroeder-Bernstein theorem

Published on 25 Aug 2016 - 13:34

List Question

What is the precise relationship between $\omega+1$ and any convergent sequence?

Topologically, what distinguishes $\mathbb{R}$ and $\mathbb{R}^2$

Is it an axiom of set theory that $|\mathbb N| = \omega$?

Are there topological properties that are finitely productive but not countably productive?

Is $\lim\limits_{n\rightarrow\infty} n$ comparable to $\aleph_0$?

Let $F$ be an infinite field. Then is it true that there does not exist any surjection from $F$ onto $F[x]$?

Cardinality of $[0,1]$ and $\mathbb{R}$

Cardinality of cartesian product of an infinite set with N

All maximal independent sets of a matroid have the same cardinality

Detail of the proof that the cardinality of a $\sigma$-algebra containing an infinite number of sets is uncountable

Uncountable collection of cardinals, without the axiom of choice

Undecidable in ZFC X<Y implies PX<PY

link between cardinality and measurability (and continuum hypothesis)

Ordering power sets by cardinality

Equivalence relations and Schroeder-Bernstein theorem

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