relationship between two sets [on hold]
1
I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.
The first set is:
$A =bigcup_{iin I} {X_{i}} $
The second set is:
$B={bigcup_{iin I} X_{i}} $
elementary-set-theory
asked 2 days ago
Brittany Rutherford
1063
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Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago
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." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
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1
I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.
The first set is:
$A =bigcup_{iin I} {X_{i}} $
The second set is:
$B={bigcup_{iin I} X_{i}} $
elementary-set-theory
asked 2 days ago
Brittany Rutherford
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago
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." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago
|
show 4 more comments
1
1
1
I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.
The first set is:
$A =bigcup_{iin I} {X_{i}} $
The second set is:
$B={bigcup_{iin I} X_{i}} $
elementary-set-theory
asked 2 days ago
Brittany Rutherford
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.
The first set is:
$A =bigcup_{iin I} {X_{i}} $
The second set is:
$B={bigcup_{iin I} X_{i}} $
elementary-set-theory
elementary-set-theory
asked 2 days ago
Brittany Rutherford
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Brittany Rutherford
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
asked 2 days ago
Brittany Rutherford
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Brittany Rutherford
1063
asked 2 days ago
Brittany Rutherford
1063
1063
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago
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." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago
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." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago
|
show 4 more comments
Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago
Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago
|
show 4 more comments
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Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago
@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago
No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago
What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago
@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago