Theory & problems of set theory & related topics [closed]
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Let S be the set of rational points in the plane R². Show that S can be partitioned into two sets V and H such that the intersection of V with any vertical line is finite and the intersection of H with any horizontal line is finite.
second-countable
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
$endgroup$
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen Dec 17 '18 at 20:06
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." – Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
1
$begingroup$
Let S be the set of rational points in the plane R². Show that S can be partitioned into two sets V and H such that the intersection of V with any vertical line is finite and the intersection of H with any horizontal line is finite.
second-countable
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
$endgroup$
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen Dec 17 '18 at 20:06
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." – Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
2
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13
add a comment |
1
1
1
1
$begingroup$
Let S be the set of rational points in the plane R². Show that S can be partitioned into two sets V and H such that the intersection of V with any vertical line is finite and the intersection of H with any horizontal line is finite.
second-countable
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
$endgroup$
Let S be the set of rational points in the plane R². Show that S can be partitioned into two sets V and H such that the intersection of V with any vertical line is finite and the intersection of H with any horizontal line is finite.
second-countable
second-countable
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
asked Dec 17 '18 at 13:46
rock Tvrock Tv
111
111
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen Dec 17 '18 at 20:06
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." – Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen Dec 17 '18 at 20:06
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." – Adrian Keister, Paul Frost, Namaste, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
2
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13
add a comment |
2
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13
2
2
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13
add a comment |
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2
$begingroup$
Hi. Welcome to Math StackExchange. You haven't asked a question. If this is a statement you are trying to show, say that. Also you will usually get better help if you show your effort at the problem; or at least say what difficulty you are having.
$endgroup$
– paw88789
Dec 17 '18 at 13:54
$begingroup$
This could be an interesting question (unless we have already answered it on the site, I didn't search). But, do familiarize yourself with our expectations from new askers. Edit the question into shape, and I (or enough other people) will vote to reopen.
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:10
$begingroup$
To get you started: if the question were about points with both coordinates natural numbers (so in the first quadrant only), what would happen if you split that quadrant along the line $y=x$?
$endgroup$
– Jyrki Lahtonen
Dec 17 '18 at 20:13