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8. Notions of compactness
8.1 Compact topological spaces
The concept of compactness makes it possible to reduce problems of seemingly infinite complexity to the study of a finite number of cases.
In a separate topological space T 2 , compact subsets behave "like" finite collections of points (p. 225 of , p. 133 of ).
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Notions of compactness
Notions of connectedness and discontinuity
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