Topology III (WiSe 2024/25)

• Time and place: Lectures: Mo, 14-16 ct and We, 14-16 ct (Room B 134)
  Please register on moodle. The key to enroll yourself is ``homotopy''
• ECTS: You can get 6 ECTS via WP37 (Module Handbook 2021, Master Mathematics)
• Exam: This will be an oral exam, most likely in the first week after the winter term ends.
• Retake Exam: This will be an oral exam, most like in the first week before the summer term starts.
• Contents: Further classical results in algebraic topology, e.g. the Hurewicz theorem, Eilenberg-MacLane spaces, representability of cohomology, obstruction theory, Steenrod operations, bundle theory, manifolds and characteristic classes.
• Audience: The course is intended for masters students in mathematics or physics. Of course, everyone who is interested is welcome to attend.
• Language: The course will be taught in English.
• Prerequisites: Topology I, Topology II.
• References: References accompanying the course are
  • T. tom Dieck, Topologie, De Gruyter.
  • J. Munkres, Topology, Pearson.
  • A. Hatcher, Algebraic Topology, Cambridge University Press.
  • G. E. Bredon, Topology and Geometry Springer Verlag.
  • W.S. Massey, A Basic Course in Algebraic Topology, Springer Verlag.
  • J.P. May, A Concise Course in Algebraic Topology, University of Chicago Press.

• Lecture notes: Topology III
  
  
• Lecture notes: Topology II
  
  
• Lecture notes: Topology I