lol..took me 4 min to write the reply and in between jholder replied 2 time....
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1) Yes..CentOS 5 = RHEL 5 technically as its binary compatible with red hat
2) With fedora you are out of luck if you trying to install network edition.
Yes you have to move from Fedora to CentOS first and only way to do without downtime is setup another server with CentOS 5.1 and follow the following wiki link
http://www.zimbra.com/blog/archives/...er_server.html
Also search for forum for other things you may need to do to move from Fedora to CentOS.
Once you have SAME OSS version running on CentOS 5.1 then only you upgrade to network version
Raj