Unformatted text preview: satisfying certain properties that generalize the concept of open intervals. • Bourbaki ◦ Not a person, but a pseudonym for a bunch of French mathematicians working together. ◦ Introduced the most abstract modern de±nition of a topological space: A set X along with a collection of subsets of X called open sets that have the following properties: ⋆ The intersection of two open sets is an open set. ⋆ The union of any collection of open sets is an open set. ⋆ X and the empty set are both open sets....
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- Fall '10
- Topology, Metric space, Topological space, open sets, Extreme Value Theorem