Question

Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?

score 559 · Answer 1 · 2015-09-10 10:20:14

559

Views

Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?

Published on 10 Sep 2015 - 10:20

score 74 · Answer 2 · 2015-09-10 21:21:25

74

Views

Sequence of continuous functions converging pointwise to a non-continuous function

Published on 10 Sep 2015 - 21:21

score 434 · Answer 3 · 2015-09-11 20:23:56

434

Views

Uncountable Ring with Finite Characteristic

Published on 11 Sep 2015 - 20:23

score 339 · Answer 4 · 2015-09-12 11:34:52

339

Views

Example of non-homeomorphic spaces $X$ and $Y$ such that $X^2$ and $Y^2$ are homeomorphic

Published on 12 Sep 2015 - 11:34

score 193 · Answer 5 · 2026-04-09 11:56:47

193

Views

An unconventional algebraic function

Published on 09 Apr 2026 - 11:56

score 578 · Answer 6 · 2015-09-12 17:11:10

578

Views

Give an example of a function whose behavior becomes more erratic toward some limit.

Published on 12 Sep 2015 - 17:11

score 311 · Answer 7 · 2015-09-13 04:52:53

311

Views

A non trivial counterexample in three-space property

Published on 13 Sep 2015 - 4:52

score 230 · Answer 8 · 2015-09-13 06:00:59

230

Views

Group Theory : A property related to the intersection of all subgroups

Published on 13 Sep 2015 - 6:00

score 1.1k · Answer 9 · 2015-09-13 19:11:18

1.1k

Views

examples of the lower semicontinuous functions

Published on 13 Sep 2015 - 19:11

score 12.2k · Answer 10 · 2015-09-14 02:50:15

12.2k

Views

Give examples of clopen (open and closed) sets

Published on 14 Sep 2015 - 2:50

score 239 · Answer 11 · 2026-03-30 08:30:08

239

Views

Why $(\mathbb Q\times\mathbb Q)/(\mathbb Z\times{=})$ is not homeomorphic to $(\mathbb Q/\mathbb Z)\times(\mathbb Q/{=})$?

Published on 30 Mar 2026 - 8:30

score 3.4k · Answer 12 · 2026-04-05 03:32:16

3.4k

Views

$L^p$ submartingale convergence theorem

Published on 05 Apr 2026 - 3:32

score 1.3k · Answer 13 · 2026-03-26 13:50:43

1.3k

Views

Distribution with two (or more) medians

Published on 26 Mar 2026 - 13:50

score 24 · Answer 14 · 2015-09-15 15:58:07

24

Views

The set where $f_n \to f$ is measurable? A question concerning Paul Mayer's Book

Published on 15 Sep 2015 - 15:58

score 4.7k · Answer 15 · 2026-04-08 17:11:42

4.7k

Views

Bounded sequence which is not convergent, but differences of consecutive terms converge to zero

Published on 08 Apr 2026 - 17:11

List Question

Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?

Sequence of continuous functions converging pointwise to a non-continuous function

Uncountable Ring with Finite Characteristic

Example of non-homeomorphic spaces $X$ and $Y$ such that $X^2$ and $Y^2$ are homeomorphic

An unconventional algebraic function

Give an example of a function whose behavior becomes more erratic toward some limit.

A non trivial counterexample in three-space property

Group Theory : A property related to the intersection of all subgroups

examples of the lower semicontinuous functions

Give examples of clopen (open and closed) sets

Why $(\mathbb Q\times\mathbb Q)/(\mathbb Z\times{=})$ is not homeomorphic to $(\mathbb Q/\mathbb Z)\times(\mathbb Q/{=})$?

$L^p$ submartingale convergence theorem

Distribution with two (or more) medians

The set where $f_n \to f$ is measurable? A question concerning Paul Mayer's Book

Bounded sequence which is not convergent, but differences of consecutive terms converge to zero

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