INTRODUCTORY TOPOLOGY I.

office: 713 Van Vleck
e-mail: maxim@math.wisc.edu
office hours: Fri 10-12

CLASS SCHEDULE: MWF 12:05 -12:55, Room VAN VLECK B305.

CLASS HOMEPAGE: http://www.math.wisc.edu/~maxim/751f10.html

DESCRIPTION: Fundamental group; Classification of compact surfaces; Covering spaces; Homology; CW complexes.

READING SOURCES:

• Allen Hatcher: Algebraic Topology, available here.
• William Massey: A Basic Course in Algebraic Topology
• James Munkres: Topology, 2nd ed.

GRADE: Midterm: 40%, Final Exam: 60%.

HOMEWORK: it will be assigned regularly and will be the main source of problems appearing in the exams.

• HW 1: Basic homotopy theory (due 09/20)
  
• HW 2: Fundamental group. Van Kampen's theorem (due 09/29)
  
• HW 3: Classification of surfaces (due 10/11)
  
• HW 4: Covering spaces (due 10/27)
  
• HW 5: Introduction to homology (due 11/12)
  
• HW 6: Homology computations (due 11/22)
  
• HW 7: Degrees. CW complexes. Cellular homology. (due 12/1)
  
• HW 8: Homology with coefficients. Euler characteristic. Lefschetz fixed-point theorem. (due 12/8)
  
• Final Exam (takehome exam, due 12/19)