Question

Prove that a map is a homeomorphism and the inverse is bounded

score 97 · Answer 1 · 2026-04-02 05:30:31

97

Views

Prove that a map is a homeomorphism and the inverse is bounded

Published on 02 Apr 2026 - 5:30

score 302 · Answer 2 · 2026-04-09 05:52:44

302

Views

How much close should two spaces be in the Gromov-Hausdorff distance to be homeomorphic?

Published on 09 Apr 2026 - 5:52

score 128 · Answer 3 · 2014-04-01 12:12:46

128

Views

Closure of interior proper subset of interior of closure

Published on 01 Apr 2014 - 12:12

score 907 · Answer 4 · 2014-04-01 13:07:36

907

Views

Closure of a particular set, $c_{00}$.

Published on 01 Apr 2014 - 13:07

score 1k · Answer 5 · 2014-04-01 13:59:36

1k

Views

Hausdorff distance for empty sets?

Published on 01 Apr 2014 - 13:59

score 116 · Answer 6 · 2014-04-02 14:06:26

find a sequence of closed connected subsets $V_n$ of $\mathbb R^2$ s.t. $V_n\supseteq V_{n+1}$ and $\cap^{\infty}_{i=1}V_i$ is not connected

score 260 · Answer 7 · 2026-04-11 17:00:20

260

Views

(Proof Checking) Prove that if $C,C'$ are compact subsets of a hausdorff space $X$ then $C\cap C'$ is compact in $X$.

Published on 11 Apr 2026 - 17:00

score 9.9k · Answer 8 · 2014-04-03 11:14:34

9.9k

Views

Proof of triangle inequality for $d(x,y)=\sqrt{\lvert x-y\rvert}$

Published on 03 Apr 2014 - 11:14

score 743 · Answer 9 · 2026-03-30 14:41:15

743

Views

Closed and Connected Subset of a Metric Space

Published on 30 Mar 2026 - 14:41

score 44 · Answer 10 · 2014-04-03 16:51:58

44

Views

Prove that if $B(x,r)$ and $B(x',r')$ are disjoint $\Longleftrightarrow d(x,x') \ge r+r'$

Published on 03 Apr 2014 - 16:51

score 56 · Answer 11 · 2014-04-04 04:03:08

56

Views

Are these metrics complete?

Published on 04 Apr 2014 - 4:03

score 587 · Answer 12 · 2026-04-11 21:55:23

587

Views

Lipschitz does not imply fixed points

Published on 11 Apr 2026 - 21:55

score 632 · Answer 13 · 2014-04-07 09:14:11

632

Views

Proving the distance function $|f - g|_u = \sup \{ |f(x) - g(x)|: x \in S \}$ defines a metric space

Published on 07 Apr 2014 - 9:14

score 62 · Answer 14 · 2026-04-10 21:43:05

62

Views

Set theory: not really understanding what the question is asking..

Published on 10 Apr 2026 - 21:43

score 126 · Answer 15 · 2014-04-08 13:09:05

126

Views

Prove that metric space is complete

Published on 08 Apr 2014 - 13:09

List Question

Prove that a map is a homeomorphism and the inverse is bounded

How much close should two spaces be in the Gromov-Hausdorff distance to be homeomorphic?

Closure of interior proper subset of interior of closure

Closure of a particular set, $c_{00}$.

Hausdorff distance for empty sets?

find a sequence of closed connected subsets $V_n$ of $\mathbb R^2$ s.t. $V_n\supseteq V_{n+1}$ and $\cap^{\infty}_{i=1}V_i$ is not connected

(Proof Checking) Prove that if $C,C'$ are compact subsets of a hausdorff space $X$ then $C\cap C'$ is compact in $X$.

Proof of triangle inequality for $d(x,y)=\sqrt{\lvert x-y\rvert}$

Closed and Connected Subset of a Metric Space

Prove that if $B(x,r)$ and $B(x',r')$ are disjoint $\Longleftrightarrow d(x,x') \ge r+r'$

Are these metrics complete?

Lipschitz does not imply fixed points

Proving the distance function $|f - g|_u = \sup \{ |f(x) - g(x)|: x \in S \}$ defines a metric space

Set theory: not really understanding what the question is asking..

Prove that metric space is complete

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