Channel: Oxford Mathematics

Category: Science & Technology

Tags: topologythe classification of surfacesoxford mathematics student lectureandre henriquesmaths lecturemath lecture

Description: In this lecture from our 2nd Year Topology course, Andre Henriques proves the classification theorem for compact 2-dimensional manifold (a.k.a. surfaces). Every compact connected surface is one of the following: the two-dimensional sphere, a torus with n holes, or a connect sum of n copies of the real projective plane. 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.