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MIT 18.S190 Introduction To Metric Spaces, IAP 2023
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Instructor: Paige Bright View the complete course: https://ocw.mit.edu/courses/18-s190-introduction-to-metric-spaces-january-iap-2023/ How do we go from real analysis on Euclidean space to more general settings? We use metric spaces! In this six-lecture course we develop the general theory of metric spaces, including compact sets, complete metric spaces, and much more. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We 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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MIT OpenCourseWare
Subjects
Metric spaces, convergent sequences, open sets, continuous functions, Heine-Borel theorem, Bolzano-Weierstrass, Banach Fixed Point theorem, history of metric spaces
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