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Current Problems in TopologyInstructor: Rustam Sadykov Course: Current Problems in Topology, M124
A smooth manifold is a topological space each point of which has a neighborhood resembling a Euclidean space. A smooth manifold can be thought of as a high dimensional generalization of a surface. Topology and geometry of smooth manifolds is an important rapidly developing branch of topology. This is an introductory course designed to provide students with basic fundamental concepts in the theory. The
picture at the top is a snapshot from a computer-animated
video Outside In
created by the Geometry
Center. The video explains a process of eversion of the
standard sphere in the 3-space without creating creases.
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