Question

How do I prove the $f:X\to I$ by $f(x)=\min\{f_i(x_{\beta_i}):i=1,2,...,n\}$ is continuous.

score 36 · Answer 1 · 2019-02-05 17:33:08

36

Views

How do I prove the $f:X\to I$ by $f(x)=\min\{f_i(x_{\beta_i}):i=1,2,...,n\}$ is continuous.

Published on 05 Feb 2019 - 17:33

score 172 · Answer 2 · 2019-02-09 12:39:17

172

Views

Is the subspace topology of the product topology the initial topology with respect to the restrictions of the projection maps?

Published on 09 Feb 2019 - 12:39

score 105 · Answer 3 · 2019-02-19 04:15:23

105

Views

Every bounded net in a dual space has a cluster point?

Published on 19 Feb 2019 - 4:15

score 664 · Answer 4 · 2026-03-25 06:21:01

664

Views

Proof Verification: Show that if Y is compact, then the projection is a closed map

Published on 25 Mar 2026 - 6:21

score 124 · Answer 5 · 2019-03-07 22:34:08

124

Views

Cellularity of product space

Published on 07 Mar 2019 - 22:34

score 258 · Answer 6 · 2019-03-08 02:17:32

258

Views

$+:X\times X\to X,(x,y)\mapsto +(x,y)=x+y$ and $\cdot:\Bbb{R}\times X\to X,(\lambda,x)\mapsto \cdot(\lambda,y)=\lambda\cdot x$ are weakly continuous

Published on 08 Mar 2019 - 2:17

score 280 · Answer 7 · 2019-03-19 21:52:47

280

Views

When is the product of closed sets closed in the product topology?

Published on 19 Mar 2019 - 21:52

score 65 · Answer 8 · 2026-03-25 07:56:30

65

Views

Does a sequentially continuous function take its supremum on compacts?

Published on 25 Mar 2026 - 7:56

score 49 · Answer 9 · 2026-03-25 08:04:54

49

Views

Continuity of countable projection from non-first countable topological space

Published on 25 Mar 2026 - 8:04

score 129 · Answer 10 · 2019-04-30 20:40:38

129

Views

Show $g$ integrable over [0, 1] if $g(x) - g(y)$ is Lebesgue integrable over $[0, 1] \times [0, 1]$

Published on 30 Apr 2019 - 20:40

score 92 · Answer 11 · 2019-05-10 08:33:07

92

Views

Product topology. Clarification needed

Published on 10 May 2019 - 8:33

score 195 · Answer 12 · 2019-05-13 16:35:43

195

Views

Product of two sequential spaces is not sequential

Published on 13 May 2019 - 16:35

score 211 · Answer 13 · 2019-05-14 15:33:55

211

Views

Assume that Y is compact. Prove that f is continuous.

Published on 14 May 2019 - 15:33

score 60 · Answer 14 · 2026-03-25 03:07:26

60

Views

Topology of the automorphic quotient

Published on 25 Mar 2026 - 3:07

score 70 · Answer 15 · 2019-05-21 11:19:02

70

Views

What's the correct version of this "product rule" is topology?

Published on 21 May 2019 - 11:19

List Question

How do I prove the $f:X\to I$ by $f(x)=\min\{f_i(x_{\beta_i}):i=1,2,...,n\}$ is continuous.

Is the subspace topology of the product topology the initial topology with respect to the restrictions of the projection maps?

Every bounded net in a dual space has a cluster point?

Proof Verification: Show that if Y is compact, then the projection is a closed map

Cellularity of product space

$+:X\times X\to X,(x,y)\mapsto +(x,y)=x+y$ and $\cdot:\Bbb{R}\times X\to X,(\lambda,x)\mapsto \cdot(\lambda,y)=\lambda\cdot x$ are weakly continuous

When is the product of closed sets closed in the product topology?

Does a sequentially continuous function take its supremum on compacts?

Continuity of countable projection from non-first countable topological space

Show $g$ integrable over [0, 1] if $g(x) - g(y)$ is Lebesgue integrable over $[0, 1] \times [0, 1]$

Product topology. Clarification needed

Product of two sequential spaces is not sequential

Assume that Y is compact. Prove that f is continuous.

Topology of the automorphic quotient

What's the correct version of this "product rule" is topology?

Trending Questions

Popular # Hahtags

Popular Questions