Algebraic Topology


The course will give an introduction to algebraic topology with a focus on homotopy theory. Here is a more detailed syllabus.

Text:

  • M. Hovey: Model Categories, Mathematical Surveys and Monographs, vol. 63, Amer. Math. Soc.
  • A. Hatcher: Algebraic Topology, Cambridge University Press. Available for free download here.
  • E. H. Spanier: Algebraic Topology. Corrected reprint of the 1966 original, Springer-Verlag, New-York.
  • D. G. Quillen: Homotopical Algebra, Lecture Notes in Mathematics, vol. 43, Springer-Verlag, New-York.
  • Time and place:

    Lecture 1: Thursday, April 7, 1:00-2:30 in 453. Summary.

    Lecture 2: Tuesday, April 12, 1:00-2:30 in 453. Summary.

    Lecture 3: Thursday, April 14, 1:00-2:30 in 453. Summary.

    Lecture 4: Tuesday, April 26, 1:00-2:30 in 453. Summary.

    Lecture 5: Thursday, May 12, 1:00-2:30 in 453. Summary.

    Lecture 6: Tuesday, May 24, 1:00-2:30 in 453. Summary.

    Lecture 7: Thursday, May 26, 1:00-2:30 in 453. Summary.

    Lecture 8: Tuesday, June 7, 1:00-2:30 in 453. Summary.

    Lecture 9: Thursday, June 9, 1:00-2:30 in 453. Summary.

    Lecture 10: Tuesday, June 21, 1:00-2:30 in 453. Summary.

    Lecture 11: Thursday, June 23, 1:00-2:30 in 453. Summary.

    Lecture 12: Tuesday, June 28, 1:00-2:30 in 453. Summary.

    Lecture 13: Thursday, June 30, 1:00-2:30 in 453. Summary.

    Lecture 14: Tuesday, July 12, 1:00-2:30 in 453. Summary.

    Lecture 15: Thursday, July 14, 1:00-2:30 in 453. Summary.