Edit: It turns out that the areas listed below are the 77 official “Community Areas” of Chicago.  Each of these areas can be made up of multiple neighborhoods.

For example, the “Near West Side” is made up of the West Loop, and Greektown, among others.

http://www.answers.com/topic/community-areas-of-chicago

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This is not really a definitive map, as I see some places that appear to go by different names than are listed on this map, but this is the best one I could find.