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Studies > Courses >
MAT9580 - Algebraic Topology III

Lecture notes

Here are my

  • lecture notes in book format with hyperref links and
  • the same in 12pt font and fullpage format.

The older versions of the individual chapters are listed below.

  • Chapter 1: Introduction
  • Chapter 2: The Steenrod algebra and its dual
  • Chapter 3: Classifying spaces
  • Chapter 4: Characteristic classes
  • Chapter 5: Topological K-theory
  • Chapter 6: Smooth bordism
  • Chapter 7: Sequential and orthogonal spectra
  • Chapter 8: Spectral sequences
  • Chapter 9: Formal group laws
  • Chapter 10: The height filtration
  • Chapter 11: Morava K- and E-theory
  • Chapter 12: Chromatic localization
  • Chapter 13: Telescopic localization
  • Chapter 14: Galois extensions
  • Appendix A: The Adams spectral sequence

 

Published Mar. 16, 2023 6:48 PM - Last modified Nov. 20, 2024 3:29 PM
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