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Lecture 3: Compact Sets in Rⁿ episode artwork

Oct 30, 2026 1 hr 23 min

Lecture 3: Compact Sets in Rⁿ

from MIT OpenCourseWare: Free Courses from the institute Hosted by MIT OpenCourseWare

MIT 18.S190 Introduction To Metric Spaces, IAP 2023Instructor: Paige BrightUploaded 22-05-23View the complete course: https://ocw.mit.edu/courses/18-s190-introduction-to-metric-spaces-january-iap-2023/YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP613ULTyHAqz04niYf722x7SWe motivate the concept of compact sets on Euclidean space with norms, support of functions, and finite sets. We also prove the Heine-Borel theorem and introduce the notions of topological and sequential compactness.This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.License: Creative Commons BY-NC-SAMore information at https://ocw.mit.edu/termsMore courses at https://ocw.mit.eduSupport OCW at http://ow.ly/a1If50zVRlQWe encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.

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Lecture 3: Compact Sets in Rⁿ

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