Question

Is there exist a metric $d$ on every infinite set such that $(X,d)$ be connected space?

score 145 · Answer 1 · 2026-04-01 07:22:55

145

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Is there exist a metric $d$ on every infinite set such that $(X,d)$ be connected space?

Published on 01 Apr 2026 - 7:22

score 71 · Answer 2 · 2026-03-27 18:23:42

71

Views

Explicit solution to the following functional equation

Published on 27 Mar 2026 - 18:23

score 54 · Answer 3 · 2026-03-30 10:38:16

54

Views

I need to find two matrices $A,B$ in $M_{2}(\mathbb{C})$ such that ...

Published on 30 Mar 2026 - 10:38

score 140 · Answer 4 · 2026-03-27 11:49:01

140

Views

If $f \circ g$ and $g \circ h$ are smooth, is $f \circ g \circ h$ smooth?

Published on 27 Mar 2026 - 11:49

score 278 · Answer 5 · 2026-03-26 20:44:27

278

Views

Eigenvalues related to oblique projections

Published on 26 Mar 2026 - 20:44

score 350 · Answer 6 · 2026-03-27 14:03:22

350

Views

Is there a more elementary (but not trivial) example of a fundamental group than that of $S^1$?

Published on 27 Mar 2026 - 14:03

score 168 · Answer 7 · 2019-12-19 15:25:45

168

Views

Counter example of inverse function theorem in case of non-Banach spaces

Published on 19 Dec 2019 - 15:25

score 89 · Answer 8 · 2026-03-25 17:26:18

89

Views

Counterexample to a given claim about prime numbers

Published on 25 Mar 2026 - 17:26

score 96 · Answer 9 · 2026-03-26 17:44:40

96

Views

Can I get a function having a sharp point but its inverse differentiable on its domain.

Published on 26 Mar 2026 - 17:44

score 27 · Answer 10 · 2026-03-30 07:40:42

27

Views

Example of a discontinuous function for which limit of the differential quotient exists in $\mathbb R\cup\{-\infty,+\infty\}$

Published on 30 Mar 2026 - 7:40

score 76 · Answer 11 · 2026-03-27 07:13:26

76

Views

Example of non metrizable topological groups satisfying an extra condition.

Published on 27 Mar 2026 - 7:13

score 170 · Answer 12 · 2019-12-26 20:19:54

170

Views

Does the composition of closed-range continuous linear maps between Banach spaces have a closed range?

Published on 26 Dec 2019 - 20:19

score 101 · Answer 13 · 2026-03-26 02:53:41

101

Views

Example of $S$-Noetherian rings

Published on 26 Mar 2026 - 2:53

score 139 · Answer 14 · 2019-12-28 18:02:06

139

Views

If $C$ has measure zero and is in $[0,1]$ is $[0,1]\backslash$ $C$ dense in $[0,1]$

Published on 28 Dec 2019 - 18:02

score 118 · Answer 15 · 2026-03-25 10:17:33

118

Views

What are some examples of infinite strict quasigroups?

Published on 25 Mar 2026 - 10:17

List Question

Is there exist a metric $d$ on every infinite set such that $(X,d)$ be connected space?

Explicit solution to the following functional equation

I need to find two matrices $A,B$ in $M_{2}(\mathbb{C})$ such that ...

If $f \circ g$ and $g \circ h$ are smooth, is $f \circ g \circ h$ smooth?

Eigenvalues related to oblique projections

Is there a more elementary (but not trivial) example of a fundamental group than that of $S^1$?

Counter example of inverse function theorem in case of non-Banach spaces

Counterexample to a given claim about prime numbers

Can I get a function having a sharp point but its inverse differentiable on its domain.

Example of a discontinuous function for which limit of the differential quotient exists in $\mathbb R\cup\{-\infty,+\infty\}$

Example of non metrizable topological groups satisfying an extra condition.

Does the composition of closed-range continuous linear maps between Banach spaces have a closed range?

Example of $S$-Noetherian rings

If $C$ has measure zero and is in $[0,1]$ is $[0,1]\backslash$ $C$ dense in $[0,1]$

What are some examples of infinite strict quasigroups?

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