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Chapter 1

Chapter 1

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A topological space is an ordered pair (X, τ), where X is a set and τis a collection of subsets ofX, satisfying: 1. Ø; X ∈τ 2. τis closed under finite intersections. 3. τis closed under arbitrary unions. Any element of a topology is known as an open set. The collectionτis called a topology on X. Example: We have an experiment with Ω ...

  Paris, Ordered, Ordered pair

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