Question

Continuous function on compact metric space has minimum and maximum

score 241 · Answer 1 · 2019-01-21 20:37:02

241

Views

Continuous function on compact metric space has minimum and maximum

Published on 21 Jan 2019 - 20:37

score 59 · Answer 2 · 2026-03-29 21:50:37

59

Views

Have I understood Compact Set correctly

Published on 29 Mar 2026 - 21:50

score 49 · Answer 3 · 2026-02-23 01:06:45

49

Views

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

Published on 23 Feb 2026 - 1:06

score 71 · Answer 4 · 2026-03-29 15:02:23

71

Views

Compactness and connectedness in $\Bbb R^3$

Published on 29 Mar 2026 - 15:02

score 1k · Answer 5 · 2019-01-25 11:06:11

1k

Views

If $A$ and $B$ are closed, then $A+B$ is Borel

Published on 25 Jan 2019 - 11:06

score 64 · Answer 6 · 2019-01-25 18:14:09

64

Views

Compactness of a closed subspace

Published on 25 Jan 2019 - 18:14

score 338 · Answer 7 · 2026-03-25 09:37:01

338

Views

Product of a compact set and a singleton is compact proof

Published on 25 Mar 2026 - 9:37

score 143 · Answer 8 · 2019-01-26 15:51:26

143

Views

Continuous maps between compact Hausdorff spaces and their induced maps on their space of continuous real-valued functions.

Published on 26 Jan 2019 - 15:51

score 165 · Answer 9 · 2026-03-25 09:39:48

165

Views

Product of a compact topological space and a singleton in another topological space is compact proof

Published on 25 Mar 2026 - 9:39

score 109 · Answer 10 · 2019-01-28 02:49:23

Is there a counterexample such that : $X$ is a topology space , every infinite subset of $X$ has a limit point but $X$ is not compact .

score 46 · Answer 11 · 2026-03-26 16:56:55

46

Views

If $\beta$ is a continuous function with $\beta f'=0$ for all $f\in C_c^\infty$, are we able to conclude $\beta=0$?

Published on 26 Mar 2026 - 16:56

score 360 · Answer 12 · 2019-01-29 16:50:59

360

Views

Discreteness"+" Compactness= Finiteness: What does this really mean?

Published on 29 Jan 2019 - 16:50

score 106 · Answer 13 · 2019-01-30 16:46:13

106

Views

Is set $[0,1)$ compact in $\mathbb{R}$?

Published on 30 Jan 2019 - 16:46

score 23 · Answer 14 · 2019-01-30 20:06:29

23

Views

A characteristic continuous mapping

Published on 30 Jan 2019 - 20:06

score 583 · Answer 15 · 2019-01-31 13:49:15

583

Views

If $K_1$ & $K_2$ are disjoint nonempty compact sets ,show that there exist $k_i$ $\in$ $K_i$

Published on 31 Jan 2019 - 13:49

List Question

Continuous function on compact metric space has minimum and maximum

Have I understood Compact Set correctly

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

Compactness and connectedness in $\Bbb R^3$

If $A$ and $B$ are closed, then $A+B$ is Borel

Compactness of a closed subspace

Product of a compact set and a singleton is compact proof

Continuous maps between compact Hausdorff spaces and their induced maps on their space of continuous real-valued functions.

Product of a compact topological space and a singleton in another topological space is compact proof

Is there a counterexample such that : $X$ is a topology space , every infinite subset of $X$ has a limit point but $X$ is not compact .

If $\beta$ is a continuous function with $\beta f'=0$ for all $f\in C_c^\infty$, are we able to conclude $\beta=0$?

Discreteness"+" Compactness= Finiteness: What does this really mean?

Is set $[0,1)$ compact in $\mathbb{R}$?

A characteristic continuous mapping

If $K_1$ & $K_2$ are disjoint nonempty compact sets ,show that there exist $k_i$ $\in$ $K_i$

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