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Topology - Crosscaps and Handles: Oxford Mathematics 2nd Year Student Lecture

Duration: 28:40Views: 7KLikes: 199Date Created: Apr, 2021

Channel: Oxford Mathematics

Category: Science & Technology

Tags: topology lecturecrosscaps and handlesoxford mathematics student lectureandre henriquesmaths lecturemath lecture

Description: In this lecture from our 2nd year Topology course, Andre Henriques describes crosscaps and handles in a visual way. He relies both on detailed beautiful pictures, and also on precise equations. Crosscaps and handles are the building blocks of all surfaces: any compact surface can be obtained from the sphere by adding a certain number of handles or crosscaps. The course materials can be found here: courses-archive.maths.ox.ac.uk/node/50742 You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): youtube.com/playlist?list=PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.

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