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May 6, 2012 at 13:33 history edited Ralph CC BY-SA 3.0
Added that X is supposed to be Hausdorff. See the comments according to the answer.
May 5, 2012 at 8:05 vote accept Ali Reza
May 5, 2012 at 8:05 vote accept Ali Reza
May 5, 2012 at 8:05
May 4, 2012 at 22:35 history edited Ralph CC BY-SA 3.0
corrected some typos
May 4, 2012 at 22:24 answer added Ralph timeline score: 5
May 2, 2012 at 4:45 comment added Ali Reza Yes Dear Ralph. i am sorry about my wrong notation. I should write: $Z(I)=\lbrace Z(f): f \in I\rbrace$
May 2, 2012 at 0:22 comment added Ralph Shouldn't it be $Z(I)=\lbrace Z(f): f \in I\rbrace$ (instead of $f \in C(X)$) ?
May 1, 2012 at 20:56 comment added Ali Reza Dear Matthew $Z(I):=${$Z(f):f\inC(X)$} i.e. every element of $Z(I)$ is a set of the form $Z(f)$ that $f$ belongs to the ideal $I$. Thank you for your comment
May 1, 2012 at 20:38 comment added Matthew Daws Is actually $Z[I]$ equal to the intersection of all the sets $Z[f]$ with $f\in I$?
May 1, 2012 at 20:25 history edited Ali Reza CC BY-SA 3.0
edited title
May 1, 2012 at 20:17 history edited Ali Reza CC BY-SA 3.0
added 627 characters in body; edited title
Apr 30, 2012 at 18:11 comment added Martin Brandenburg $Z(f)$ is standard notation, it is the zero set of $f$. As for the question: Have you considered principal ideals and nice spaces, say manifolds?
Apr 30, 2012 at 12:26 comment added David White I've noticed you are asking a lot of questions and they are not getting much attention. There are several reasons. First, you should define $Z(f)$ in each one, since this is not standard notation. Also, you should use dollar signs to make the mathematics appear as mathematics. It wouldn't hurt to give more background, like what you have tried on the problem and why you care about the answer. Have you read the "How to Ask" page yet? Have you thought about asking on math.stackexchange? Spending time there for a while learning how to ask would not hurt you.
Apr 30, 2012 at 10:28 history edited Ali Reza CC BY-SA 3.0
edited body; edited title
Apr 30, 2012 at 10:11 history asked Ali Reza CC BY-SA 3.0