Tuesday, October 13, 2009

Open Sets

Distance -> Open ball -> interior points, boundary points, exterior points -> open sets -> closed sets…… this is a line in real analysis view… while in topological definition open set is the most basic conception, and the interior of set A is defined with open set: the interior of set A is the largest open set contained in A…… maybe from the above summary, it seems can state topology is more abstract than real analysis.

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