Algebraic Topology II

Three spheres made up of circles.

The Hopf fibration shows how the three-sphere can be built by a collection of circles parametrized by points on a two-sphere. This is a frame from an animation of fibers in the Hopf fibration over various points on the two-sphere. (Image and animation courtesy of Niles Johnson.)

Instructor(s)

MIT Course Number

18.906

As Taught In

Spring 2020

Level

Graduate

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Course Description

Course Features

Course Description

This is the second part of the two-course series on algebraic topology. Topics include basic homotopy theory, obstruction theory, classifying spaces, spectral sequences, characteristic classes, and Steenrod operations.

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Related Content

Haynes Miller. 18.906 Algebraic Topology II. Spring 2020. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.


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