- #1
Euge
Gold Member
MHB
POTW Director
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- 242
Here is this week's POTW:
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Suppose $X$ is a compact Hausdorff space. Show that there is homeomorphism between $X$ and the collection $Y$ of maximal ideals in $C(X,\Bbb R)$, the space of continuous real-valued functions on $X$ (here, $Y$ is topologized with the Zariski topology).
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
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Suppose $X$ is a compact Hausdorff space. Show that there is homeomorphism between $X$ and the collection $Y$ of maximal ideals in $C(X,\Bbb R)$, the space of continuous real-valued functions on $X$ (here, $Y$ is topologized with the Zariski topology).
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!