Topology 1 (WiSe 2023/24)

• Time and place: Lectures: Tue, 12-14 ct and Fri, 12-14 ct (Room A 027)
  Exercises: Wed, 12-14 (Room B 132) and Thu, 14-16 (Room B 046)
  
  Please register on moodle. The key to enroll yourself is the first name of the famous German topologist Puppe.
• Exercise classes: The weekly homework assignments will be discussed in the exercise classes. Homework assignments will be posted below.
• Exam: The exam will take place on Thursday, 15 February 2024, 10 - 12 am in Room B 005.
• Retake Exam: The retake exam will take place on Wednesday, 10 April 2024, 10 - 12 am in Room B 004.
• Contents: We will begin with a brief introduction to point-set topology, and then discuss various topics in algebraic topology (fundamental group, covering spaces, singular homology theory).
• Audience: The course is intended for students of mathematics or physics in the third year or higher. Of course, everyone who is interested is welcome to attend.
• Language: The course will be taught in English.
• Prerequisites: Basic courses in calculus and (linear) algebra.
• References: References accompanying the course are
  • T. tom Dieck, Topologie, De Gruyter.
  • J. Munkres, Topology, Pearson.
  • A. Hatcher, Algebraic Topology, Cambridge University Press.
  • 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 1
  
  
• Homework assignments:
  
  Sheet 1
  Sheet 2 (Comments)
  Sheet 3
  Sheet 4
  Sheet 5
  Sheet 6 (Comments)
  Sheet 7 (Comments)
  Sheet 8 (Comments)
  Sheet 9
  Sheet 10 (Trial exam)
  Sheet 11 (Comments)
  Sheet 12
  Sheet 13
  Sheet 14