We say a point x is a limit point of the set A if every open set containing x has a point of A that is not x. For example, every point of [0,1] is a limit point of (0,1) in the usual topology of R.
2006-07-02 02:15:35
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answer #1
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answered by mathematician 7
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First of all, I hope you're in a Hausdorff space or this question is moot. If you are, then there are a few definitions I've seen before to answer this question:
A point p in X is a limit point of X if the intersection of any region (or neighborhood, ball of radius epsilon, etc) containing p and the topological space X (excluding p) is non-empty. The interval answer given above is a good example of this.
Second, you can say that p in X is a limit point if it is the limit of an infinite, convergent sequence of points in X.
2006-07-02 12:22:23
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answer #2
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answered by barronitaly 1
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Boy, I'm really reaching my limit now.
Are you talking about the homotopic limit problem for two-primary
Algebraic K (that K should be a forward slant) theory?
Go to ScienceDirect.com, or just key in topology. This is a
really twisted site you know.
2006-07-02 05:08:01
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answer #3
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answered by Anonymous
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Un point est dit point limite en topologie si n'importe kel de son voisinage contient un autre point different de lui. Soit a le point, alors V k> 0, il exist b tel que /b-a/
Comprendo???
2006-07-02 05:20:32
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answer #4
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answered by etudes34 1
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This is a topic on Network Connections.
The geometric arrangements of the computers.
May be u are searching at the wrong place.
2006-07-02 05:22:46
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answer #5
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answered by AEZ 3
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sure.
A fictional point calculated to have a point to work with.
2006-07-02 04:55:09
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answer #6
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answered by Puppy Zwolle 7
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