Catalytic Converter question

["James J." <m1garand@speakeasy.net>]

All,
   I've been toying with adding catalytic converters to an MGB-GT that 
I'm planning on making a daily-driver after a V-8 conversion (w/ 
closed-loop fuel injection) and restoration.  From what I understand, 
though, unburnt fuel can damage catalytic converters.  I know that 
air-pumps are added to cars starting in the late 60's to inject air into 
the hot exhaust to allow any un-burnt fuel to combust before entering 
the atmosphere, long before Cats became mandatory.
   So my question is:  Does a car  w/ Cats require an air-pump, and 
heads designed for an air-injection rail?  Even if the car is running 
closed-loop?  What is the little air-tube on Cats for, and is it 
required for proper use?
   Thanks, and please.. no feline jokes....
James J.

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