Question

Is the limit of an increasing sequence of continuous functions is a lower semicontinuous function

score 142 · Answer 1 · 2021-12-06 16:49:38

142

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Is the limit of an increasing sequence of continuous functions is a lower semicontinuous function

Published on 06 Dec 2021 - 16:49

score 175 · Answer 2 · 2021-12-12 14:11:05

175

Views

Prove that $\Phi$ is a lower semicontinuous functional.

Published on 12 Dec 2021 - 14:11

score 591 · Answer 3 · 2022-01-14 03:55:36

591

Views

$f$ is lower semi-continuous at $x_0$ if and only if $\liminf f(x_k) \geq f(x_0)$ for all $x_k \rightarrow x_0$

Published on 14 Jan 2022 - 3:55

score 14 · Answer 4 · 2022-01-24 09:08:13

14

Views

Measure of closed set is vaguely u.s.c. on M_1^+(K)

Published on 24 Jan 2022 - 9:08

score 159 · Answer 5 · 2022-03-02 16:57:52

159

Views

Lower semicontinuity of the rank for a map of vector bundles

Published on 02 Mar 2022 - 16:57

score 54 · Answer 6 · 2022-03-03 22:42:13

54

Views

$\lim_{k \rightarrow \infty} \frac{f(x)}{k}$ where $f: X \rightarrow \mathbb{R} \cup \{\infty\}$

Published on 03 Mar 2022 - 22:42

score 23 · Answer 7 · 2022-03-17 04:43:07

23

Views

Counter example for: If $f\colon \mathbb{R}^n\to \mathbb{R}$ lower semi continuous, then $\forall x_n\to x, \lim_{n\to\infty}f(x_n)\geq f(x)$

Published on 17 Mar 2022 - 4:43

score 65 · Answer 8 · 2026-02-23 08:28:38

65

Views

Is this function upper-semi continuous?

Published on 23 Feb 2026 - 8:28

score 46 · Answer 9 · 2022-03-28 07:55:05

46

Views

Inclusion of uppersemicontinuous maps in continuous maps

Published on 28 Mar 2022 - 7:55

score 203 · Answer 10 · 2022-04-07 08:14:32

203

Views

Characterization of lower semicontinuity

Published on 07 Apr 2022 - 8:14

score 108 · Answer 11 · 2022-04-15 13:28:41

108

Views

Continuity of an integral with parameter-dependent domain of integration

Published on 15 Apr 2022 - 13:28

score 72 · Answer 12 · 2022-05-02 10:58:00

72

Views

the sum of a sequence of lower semicontinuous functions may not be lower semicontinuous?

Published on 02 May 2022 - 10:58

score 80 · Answer 13 · 2022-05-06 18:14:06

80

Views

Characterization lower semi continuity

Published on 06 May 2022 - 18:14

score 37 · Answer 14 · 2022-05-13 18:15:39

37

Views

Is this function continuous (when $U$ has no flat regions)?

Published on 13 May 2022 - 18:15

score 75 · Answer 15 · 2022-05-23 20:23:18

75

Views

Does my proof generalize this exercise about continuity of convex lower semi-continuous function?

Published on 23 May 2022 - 20:23

List Question

Is the limit of an increasing sequence of continuous functions is a lower semicontinuous function

Prove that $\Phi$ is a lower semicontinuous functional.

$f$ is lower semi-continuous at $x_0$ if and only if $\liminf f(x_k) \geq f(x_0)$ for all $x_k \rightarrow x_0$

Measure of closed set is vaguely u.s.c. on M_1^+(K)

Lower semicontinuity of the rank for a map of vector bundles

$\lim_{k \rightarrow \infty} \frac{f(x)}{k}$ where $f: X \rightarrow \mathbb{R} \cup \{\infty\}$

Counter example for: If $f\colon \mathbb{R}^n\to \mathbb{R}$ lower semi continuous, then $\forall x_n\to x, \lim_{n\to\infty}f(x_n)\geq f(x)$

Is this function upper-semi continuous?

Inclusion of uppersemicontinuous maps in continuous maps

Characterization of lower semicontinuity

Continuity of an integral with parameter-dependent domain of integration

the sum of a sequence of lower semicontinuous functions may not be lower semicontinuous?

Characterization lower semi continuity

Is this function continuous (when $U$ has no flat regions)?

Does my proof generalize this exercise about continuity of convex lower semi-continuous function?

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