Question

Locally compact $T_2$ but not $T_4$ spaces

score 400 · Answer 1 · 2026-04-14 15:46:10

400

Views

Locally compact $T_2$ but not $T_4$ spaces

Published on 14 Apr 2026 - 15:46

score 135 · Answer 2 · 2026-04-09 09:08:30

135

Views

Finitely axiomatized second-order theory without a model, which is consistent for reasonable deductive systems

Published on 09 Apr 2026 - 9:08

score 409 · Answer 3 · 2026-04-15 18:40:34

409

Views

Example of decreasing sequence of non-negative measurable functions such that $\int f_n \ d\mu= +\infty \ \text{ and } \ \int f \ d\mu=0.$

Published on 15 Apr 2026 - 18:40

score 57 · Answer 4 · 2026-04-17 14:34:02

57

Views

Prove or disprove. Improper integral

Published on 17 Apr 2026 - 14:34

score 2.7k · Answer 5 · 2026-04-12 14:10:31

2.7k

Views

If a subset of a partially ordered set has exactly one minimal element, must that element be a smallest element?

Published on 12 Apr 2026 - 14:10

score 1.2k · Answer 6 · 2026-04-11 10:54:05

1.2k

Views

Is there a non-homogeneous ideal whose radical is homogeneous?

Published on 11 Apr 2026 - 10:54

score 835 · Answer 7 · 2026-04-12 20:03:23

835

Views

A hausdorff topology that is not regular

Published on 12 Apr 2026 - 20:03

score 44 · Answer 8 · 2026-04-14 13:21:26

44

Views

How to show that the"$\le$" in $\lim\sup(s_t+t_n)\le\lim\sup s_n+\lim\sup t_n$ cannot be replaced by $=$?

Published on 14 Apr 2026 - 13:21

score 490 · Answer 9 · 2026-04-10 05:54:17

490

Views

Is a group in which $a^3 = 1$ for all $a \in G$ abelian?

Published on 10 Apr 2026 - 5:54

score 37 · Answer 10 · 2026-04-13 04:58:44

37

Views

An example of a matrix $B \in Q^{2,2}$ that is diagonalisable in one field but not another

Published on 13 Apr 2026 - 4:58

score 163 · Answer 11 · 2026-04-16 18:26:55

163

Views

If $\sum a_n$ converges where $a_n \ge 0 \; \forall \; n \in \Bbb N$, then $\{n a_n\}$ converges or diverges?

Published on 16 Apr 2026 - 18:26

score 1.7k · Answer 12 · 2026-03-27 03:41:06

1.7k

Views

Irrationality or Rationality of p+q given that pq=1

Published on 27 Mar 2026 - 3:41

score 811 · Answer 13 · 2026-04-14 02:13:55

811

Views

A union of finitely many closed convex sets is not necessarily locally star-shaped?

Published on 14 Apr 2026 - 2:13

score 538 · Answer 14 · 2026-04-12 14:06:24

538

Views

A function in $H(div)$ not in $H^1$

Published on 12 Apr 2026 - 14:06

score 43 · Answer 15 · 2026-04-14 19:07:57

43

Views

When is $\sum_{i=1}^{\infty}\frac{(-1)^{i+1}x^{2i-1}}{1-x^{2i-1}}=\sum_{i=1}^{\infty}\frac{x^{i}}{1+x^{2i}}$ useful?

Published on 14 Apr 2026 - 19:07

List Question

Locally compact $T_2$ but not $T_4$ spaces

Finitely axiomatized second-order theory without a model, which is consistent for reasonable deductive systems

Example of decreasing sequence of non-negative measurable functions such that $\int f_n \ d\mu= +\infty \ \text{ and } \ \int f \ d\mu=0.$

Prove or disprove. Improper integral

If a subset of a partially ordered set has exactly one minimal element, must that element be a smallest element?

Is there a non-homogeneous ideal whose radical is homogeneous?

A hausdorff topology that is not regular

How to show that the"$\le$" in $\lim\sup(s_t+t_n)\le\lim\sup s_n+\lim\sup t_n$ cannot be replaced by $=$?

Is a group in which $a^3 = 1$ for all $a \in G$ abelian?

An example of a matrix $B \in Q^{2,2}$ that is diagonalisable in one field but not another

If $\sum a_n$ converges where $a_n \ge 0 \; \forall \; n \in \Bbb N$, then $\{n a_n\}$ converges or diverges?

Irrationality or Rationality of p+q given that pq=1

A union of finitely many closed convex sets is not necessarily locally star-shaped?

A function in $H(div)$ not in $H^1$

When is $\sum_{i=1}^{\infty}\frac{(-1)^{i+1}x^{2i-1}}{1-x^{2i-1}}=\sum_{i=1}^{\infty}\frac{x^{i}}{1+x^{2i}}$ useful?

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