Open Sets and Closed Sets in R^n

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We have open intervals such as (a, b) in the one-dimensional space. We want to extend this idea to the n-dimensional Euclidean space. We also introduce the notions of bounded sets and closed sets.

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I swear I was so god damn confused about the definition of the ball (N_epsilon) set, and how it is used to determine whether a set is open or closed before your video. For some reason our material lacks any visualisation, so you video really really helped me out :)

johannesaaen