List questions from semicontinuous-functions

Published on 15 Mar 2013 - 3:42

888

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Coercive/(weakly) semicontinuous function: extreme values

Published on 01 Aug 2020 - 15:11

117

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Function series of normal lower semi-continuous functions

Published on 08 Sep 2020 - 18:52

25

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Is there a mistake in this passage about lower semi-continuity?

Published on 19 Sep 2020 - 10:20

84

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Question on showing function is lower semicontinuous

Published on 12 Oct 2020 - 3:46

636

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semi continuity

Published on 12 Oct 2020 - 6:25

61

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Examining an upper semi-continuous function on the empty topology

Published on 26 Oct 2020 - 1:45

32

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Is there any redundancy here?

Published on 28 Oct 2020 - 12:27

32

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Why do we need to invoke the discrete-topology in the following definition of right-continuity?

Published on 29 Oct 2020 - 9:29

438

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Is $\mathbb R$ completely normal space?

Published on 19 Nov 2020 - 17:31

116

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Proof of semicontinuity

Published on 24 Nov 2020 - 15:53

107

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If $u^(x) = \lim_{r \to 0} \sup_{B_r(x)} u$ then $u^$ is the smallest upper semicontinuous funtion which is greater then $u$

Published on 24 Nov 2020 - 19:59

86

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Two semi-continuous functions whose sum is nowhere semi-continuous

Published on 03 Dec 2020 - 6:17

339

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A concave function on a compact and convex set is upper semi continuous

Published on 08 Dec 2020 - 14:09

175

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Converse to extreme value theorem?

Published on 18 Dec 2020 - 10:11

List Question

Equivalence of definitions for upper semicontinuity

Coercive/(weakly) semicontinuous function: extreme values

Function series of normal lower semi-continuous functions

Is there a mistake in this passage about lower semi-continuity?

Question on showing function is lower semicontinuous

semi continuity

Examining an upper semi-continuous function on the empty topology

Is there any redundancy here?

Why do we need to invoke the discrete-topology in the following definition of right-continuity?

Is $\mathbb R$ completely normal space?

Proof of semicontinuity

If $u^(x) = \lim_{r \to 0} \sup_{B_r(x)} u$ then $u^$ is the smallest upper semicontinuous funtion which is greater then $u$

Two semi-continuous functions whose sum is nowhere semi-continuous

A concave function on a compact and convex set is upper semi continuous

Converse to extreme value theorem?

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