Question

Find two discontinuous functions whose product is continuous

score 4.8k · Answer 1 · 2015-10-19 02:57:54

4.8k

Views

Find two discontinuous functions whose product is continuous

Published on 19 Oct 2015 - 2:57

score 4.9k · Answer 2 · 2015-10-19 17:22:42

4.9k

Views

An example showing that van der Waerden's theorem is not true for infinite arithmetic progressions

Published on 19 Oct 2015 - 17:22

score 119 · Answer 3 · 2015-10-20 06:32:19

119

Views

Is the functions $f+g$ one to one?

Published on 20 Oct 2015 - 6:32

score 559 · Answer 4 · 2026-04-01 11:22:58

559

Views

An example of an unbounded uniformly continuous function on the open ball of $\ell_2$

Published on 01 Apr 2026 - 11:22

score 158 · Answer 5 · 2015-10-20 12:23:02

158

Views

An example of a map that is not unramified in a specific way

Published on 20 Oct 2015 - 12:23

score 852 · Answer 6 · 2015-10-20 15:59:45

852

Views

Why is the set of horizontal vector fields a vector space but not a Lie algebra?

Published on 20 Oct 2015 - 15:59

score 4.9k · Answer 7 · 2015-10-20 22:24:53

4.9k

Views

Convergence in $L^1$ norm, but not point-wise a.e.

Published on 20 Oct 2015 - 22:24

score 13 · Answer 8 · 2026-02-28 08:18:20

13

Views

$f\in C^{1}(0,1)$, $f(1/2)=0$ and $f>0$ in $(0,1)\setminus\{1/2\}$, then $\lim_{x\to1/2}f(x)/(1/2-x)^a=0$

Published on 28 Feb 2026 - 8:18

score 64 · Answer 9 · 2026-03-29 09:17:20

64

Views

Is there any examples of a Banach algebra which every ideal of it, is a maximal ideal?

Published on 29 Mar 2026 - 9:17

score 904 · Answer 10 · 2026-03-30 08:58:59

904

Views

Showing a statement $ax \equiv bx \pmod n$ where $x \neq 0$, then $a \equiv b \pmod n$

Published on 30 Mar 2026 - 8:58

score 152 · Answer 11 · 2015-10-22 09:36:28

152

Views

Counter example: Sobolev Spaces

Published on 22 Oct 2015 - 9:36

score 2.2k · Answer 12 · 2015-10-22 19:10:48

2.2k

Views

Connected, locally connected, path-connected but not locally path-connected subspace of the plane

Published on 22 Oct 2015 - 19:10

score 3.6k · Answer 13 · 2015-10-22 20:10:46

3.6k

Views

Example of decreasing sequence of sets with first set having infinite measure

Published on 22 Oct 2015 - 20:10

score 92 · Answer 14 · 2015-10-23 09:48:27

92

Views

How could I find a non-closed linear subspace $X$ of $l^{2}$ , such that $ l^{2} \ne X + X^{\perp}?$

Published on 23 Oct 2015 - 9:48

score 487 · Answer 15 · 2026-04-02 14:05:01

487

Views

I want an example of a sequence that satisfies $\mid x(n) - x(n-1)\mid \to 0$ but not Cauchy

Published on 02 Apr 2026 - 14:05

List Question

Find two discontinuous functions whose product is continuous

An example showing that van der Waerden's theorem is not true for infinite arithmetic progressions

Is the functions $f+g$ one to one?

An example of an unbounded uniformly continuous function on the open ball of $\ell_2$

An example of a map that is not unramified in a specific way

Why is the set of horizontal vector fields a vector space but not a Lie algebra?

Convergence in $L^1$ norm, but not point-wise a.e.

$f\in C^{1}(0,1)$, $f(1/2)=0$ and $f>0$ in $(0,1)\setminus\{1/2\}$, then $\lim_{x\to1/2}f(x)/(1/2-x)^a=0$

Is there any examples of a Banach algebra which every ideal of it, is a maximal ideal?

Showing a statement $ax \equiv bx \pmod n$ where $x \neq 0$, then $a \equiv b \pmod n$

Counter example: Sobolev Spaces

Connected, locally connected, path-connected but not locally path-connected subspace of the plane

Example of decreasing sequence of sets with first set having infinite measure

How could I find a non-closed linear subspace $X$ of $l^{2}$ , such that $ l^{2} \ne X + X^{\perp}?$

I want an example of a sequence that satisfies $\mid x(n) - x(n-1)\mid \to 0$ but not Cauchy

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