Compact set
Revision as of 06:09, 23 February 2008 by Shreyas patankar (talk | contribs) (New page: The notion of '''Compact sets''' is very important in the field of topology ==Definition== Let <math>X</math> be a metric space Let <math>S\subset X</math> A set of open set...)
The notion of Compact sets is very important in the field of topology
Definition
Let 
be a metric space
Let 
A set of open sets 
is said to be an open cover of 
iff 
The set is said to be Compact if and only if for every 
that is an open cover of , there exists a finite set 
such that 
is also an open cover of
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