| Subject: | Re: Prime ideals in the ring of continuous functions |
|---|---|
| From: | Sasha P |
| Date: | Fri, 20 Oct 2006 11:17:17 EDT |
| Newsgroups: | sci.math |
> No, it clearly is maximal. Take an ultrafilter F on > P([0,1]). Then the > set of functions f such that the zero set of f is in > F is a prime ideal. Why the set of such functions is ideal? |
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