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What is Open and Closed Sets in Topology about?

This document introduces some key concepts in topology as they relate to the real number line R. It defines open and closed sets in R, giving examples of each. Open sets are those for which every point has a neighborhood contained within the set, while closed sets are those whose complements are open. The empty set and all of R are both open and closed. Unions of open sets and finite intersections of open sets are open. Intersections of closed sets and finite unions of closed sets are closed. Compactness an

Author

red 16

Language

EN