Union of interiors of convex sets [closed]
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¿If A and B are convex sets, is it true that the union of their interiors is equal to the interior of their unions?
general-topology convex-analysis
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
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closed as off-topic by Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos Dec 9 '18 at 16:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
¿If A and B are convex sets, is it true that the union of their interiors is equal to the interior of their unions?
general-topology convex-analysis
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
$endgroup$
closed as off-topic by Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos Dec 9 '18 at 16:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
6
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Look at two halves of a disk.
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– user525761
Feb 13 '18 at 3:09
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$A = (- infty , 0 ] $ and $B =[0 , + infty)$
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– Red shoes
Feb 14 '18 at 4:10
add a comment |
$begingroup$
¿If A and B are convex sets, is it true that the union of their interiors is equal to the interior of their unions?
general-topology convex-analysis
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
$endgroup$
¿If A and B are convex sets, is it true that the union of their interiors is equal to the interior of their unions?
general-topology convex-analysis
general-topology convex-analysis
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
asked Feb 13 '18 at 3:03
Emiliano ZambranoEmiliano Zambrano
34
34
closed as off-topic by Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos Dec 9 '18 at 16:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos Dec 9 '18 at 16:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Brahadeesh, Martin Sleziak, GNUSupporter 8964民主女神 地下教會, jgon, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
6
$begingroup$
Look at two halves of a disk.
$endgroup$
– user525761
Feb 13 '18 at 3:09
$begingroup$
$A = (- infty , 0 ] $ and $B =[0 , + infty)$
$endgroup$
– Red shoes
Feb 14 '18 at 4:10
add a comment |
6
$begingroup$
Look at two halves of a disk.
$endgroup$
– user525761
Feb 13 '18 at 3:09
$begingroup$
$A = (- infty , 0 ] $ and $B =[0 , + infty)$
$endgroup$
– Red shoes
Feb 14 '18 at 4:10
6
6
$begingroup$
Look at two halves of a disk.
$endgroup$
– user525761
Feb 13 '18 at 3:09
$begingroup$
Look at two halves of a disk.
$endgroup$
– user525761
Feb 13 '18 at 3:09
$begingroup$
$A = (- infty , 0 ] $ and $B =[0 , + infty)$
$endgroup$
– Red shoes
Feb 14 '18 at 4:10
$begingroup$
$A = (- infty , 0 ] $ and $B =[0 , + infty)$
$endgroup$
– Red shoes
Feb 14 '18 at 4:10
add a comment |
1 Answer
1
active
oldest
votes
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This question has been answered in the negative by the examples in the comments by @RedShoes, reproduced below.
No, consider $A = (-infty,0]$ and $B = [0,infty)$ as subsets of $mathbb{R}$ in the usual topology.
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It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
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– Brahadeesh
Dec 7 '18 at 14:20
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
This question has been answered in the negative by the examples in the comments by @RedShoes, reproduced below.
No, consider $A = (-infty,0]$ and $B = [0,infty)$ as subsets of $mathbb{R}$ in the usual topology.
$endgroup$
$begingroup$
It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
add a comment |
$begingroup$
This question has been answered in the negative by the examples in the comments by @RedShoes, reproduced below.
No, consider $A = (-infty,0]$ and $B = [0,infty)$ as subsets of $mathbb{R}$ in the usual topology.
$endgroup$
$begingroup$
It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
add a comment |
$begingroup$
This question has been answered in the negative by the examples in the comments by @RedShoes, reproduced below.
No, consider $A = (-infty,0]$ and $B = [0,infty)$ as subsets of $mathbb{R}$ in the usual topology.
$endgroup$
This question has been answered in the negative by the examples in the comments by @RedShoes, reproduced below.
No, consider $A = (-infty,0]$ and $B = [0,infty)$ as subsets of $mathbb{R}$ in the usual topology.
edited Dec 7 '18 at 14:22
community wiki
2 revs, 2 users 75%
Brahadeesh
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It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
add a comment |
$begingroup$
It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
$begingroup$
It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
$begingroup$
It is advisable to replicate the important comments in your answer. One of the important purposes of giving such community wiki answers is to preserve the comments that give the answers, because (for example) comments can easily be lost.
$endgroup$
– Brahadeesh
Dec 7 '18 at 14:20
add a comment |
6
$begingroup$
Look at two halves of a disk.
$endgroup$
– user525761
Feb 13 '18 at 3:09
$begingroup$
$A = (- infty , 0 ] $ and $B =[0 , + infty)$
$endgroup$
– Red shoes
Feb 14 '18 at 4:10