Proof for Unions and Intersections of Closed Sets | Real Analysis

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Real Analysis course:    • Real Analysis  
Real Analysis exercises:    • Real Analysis Exercises  

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We prove the intersection of an arbitrary collection of closed sets is closed, and the union of a finite collection of closed sets is closed. To do this, we use DeMorgan's Laws, the definition of closed and open sets, and previously proven results on the unions and intersections of open sets. #RealAnalysis

DeMorgan's Laws:    • What are DeMorgan's Laws?  
Intro to Open Sets:    • Intro to Open Sets (with Examples) | Real ...  
Proof for Unions and Intersections of Open Sets:    • Proof for Unions and Intersections of Open...  
All About Closed Sets:    • All About Closed Sets and Closures of Sets...  

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