Question

Metric induced by norm (cartesian product)

score 211 · Answer 1 · 2026-03-28 13:37:11

211

Views

Metric induced by norm (cartesian product)

Published on 28 Mar 2026 - 13:37

score 289 · Answer 2 · 2018-05-13 10:51:42

289

Views

continuous mapping of metrizable space

Published on 13 May 2018 - 10:51

score 811 · Answer 3 · 2026-03-28 06:24:10

811

Views

Compact metric spaces can be covered by finitely many $\epsilon$-balls

Published on 28 Mar 2026 - 6:24

score 37 · Answer 4 · 2026-03-28 11:54:04

37

Views

Does $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in M$ imply $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in cl(M)$?

Published on 28 Mar 2026 - 11:54

score 600 · Answer 5 · 2026-03-26 08:02:40

600

Views

Existence of the maximum in the minimax principle of Courant-Fischer

Published on 26 Mar 2026 - 8:02

score 49 · Answer 6 · 2018-05-13 22:22:33

49

Views

Is $(0,2)\cup(2,3)$ dense in$ [0,3]$?

Published on 13 May 2018 - 22:22

score 526 · Answer 7 · 2018-05-13 23:11:03

526

Views

Prove that if all set homeomorphic to $X$ is bounded, then $X$ is compact.

Published on 13 May 2018 - 23:11

score 76 · Answer 8 · 2018-05-14 01:52:16

76

Views

Compact sets, convexity and homeomorphism. Incomplete solution.

Published on 14 May 2018 - 1:52

score 2.3k · Answer 9 · 2026-03-25 01:21:54

2.3k

Views

What is the isometry and isometry group?

Published on 25 Mar 2026 - 1:21

score 1.7k · Answer 10 · 2018-05-14 19:24:33

1.7k

Views

Proving that the closure of a connected set in a metric space is connected.

Published on 14 May 2018 - 19:24

score 128 · Answer 11 · 2018-05-15 10:02:06

128

Views

Prove $d_1(x,y) \le \sqrt N \cdot d_2(x,y)$

Published on 15 May 2018 - 10:02

score 1.6k · Answer 12 · 2026-03-25 16:01:05

1.6k

Views

How does the metric on the Poincaré half plane model work?

Published on 25 Mar 2026 - 16:01

score 543 · Answer 13 · 2026-02-23 04:43:04

543

Views

Equivalence of Euclidean metric and the metric $d(x,y) = min{1, |x-y|}$ on $\mathbb R^{2}$

Published on 23 Feb 2026 - 4:43

score 85 · Answer 14 · 2026-03-28 06:40:53

85

Views

Question about an open cover of (0,1]

Published on 28 Mar 2026 - 6:40

score 23 · Answer 15 · 2018-05-15 23:23:07

23

Views

Let $\phi:M\to N$. Show that $\phi:B(N,\mathbb{R})\to B(M,\mathbb{R})$ where $\phi = f(\phi)$ (contract spaces)

Published on 15 May 2018 - 23:23

List Question

Metric induced by norm (cartesian product)

continuous mapping of metrizable space

Compact metric spaces can be covered by finitely many $\epsilon$-balls

Does $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in M$ imply $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in cl(M)$?

Existence of the maximum in the minimax principle of Courant-Fischer

Is $(0,2)\cup(2,3)$ dense in$ [0,3]$?

Prove that if all set homeomorphic to $X$ is bounded, then $X$ is compact.

Compact sets, convexity and homeomorphism. Incomplete solution.

What is the isometry and isometry group?

Proving that the closure of a connected set in a metric space is connected.

Prove $d_1(x,y) \le \sqrt N \cdot d_2(x,y)$

How does the metric on the Poincaré half plane model work?

Equivalence of Euclidean metric and the metric $d(x,y) = min{1, |x-y|}$ on $\mathbb R^{2}$

Question about an open cover of (0,1]

Let $\phi:M\to N$. Show that $\phi:B(N,\mathbb{R})\to B(M,\mathbb{R})$ where $\phi = f(\phi)$ (contract spaces)

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