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I want to study realcompact spaces but I can't find the best book or journal for it, and I really need to.
(sorry I don't write English very well)

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I don't know much about the subject, but the Gillman and Jerison "Rings of continuous functions" is a good book in general. –  arsmath Jan 28 '13 at 21:10
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I agree strongly with that recommendation. –  Gerald Edgar Jan 28 '13 at 21:35
    
The standard reference is the book on Hewitt-Nachbin spaces by Weir (the title is another alibi of realcompact spaces). –  jbc Jan 28 '13 at 21:41
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Try Engelking's "General topology" (they are named "Hewitt spaces" therein). –  Bojan Kwitek Jan 28 '13 at 21:56
    
All of references in these comments are useful. Particularly Gilman jerison. –  Ali Jan 29 '13 at 1:00

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