Introduction to topology

18.901: Introduction to topology (Spring 2025)

The syllabus for this course is available here.

Lecture time: Tuesday and Thursday: 1:00 pm - 2:30 pm

Location: 2-190

Instructor Email: pieloch@mit.edu
Instructor Office Hours: TBD

Problem Sets

• Problem set 1
  Due Thursday, February 6th, 2025 at 11:59 am
  
  

• Problem set 2
  Due Thursday, February 13th, 2025 at 11:59 am
  
  

• Problem set 3
  Due Thursday, February 20th, 2025 at 11:59 am
  
  

Exams

• Midterm 1:
  • Time: Thursday, March 6th, 2025 at 1:00 pm - 2:30 pm
  • Material covered: TBD
  
  
• Midterm 2:
  • Time: Tuesday, April 17th, 2025 at 1:00 pm - 2:30 pm
  • Material covered: TBD
  
  
• Final exam:
  • Time: TBD
  • Material covered: TBD
  
  

Course Schedule

This section will be updated after class to list the material that was covered along with the lecture notes. For a tentative schedule of the course, see the syllabus.

• Week 1
  • February 4th, 2025:
    • Introduction, topological spaces, bases, interiors, closures, limit points
    • Lecture notes: 1.1, 1.2
  • February 6th, 2025:
    • Dense subsets, metric spaces, subspaces, product spaces
    • Lecture notes: 1.2, 1.3
  
  
• Week 2
  • February 11th, 2025:
    • Quotient topology, continuous maps
    • Lecture notes: 1.3.4, 1.4
  • February 13th, 2025:
    • Continuous maps, limit points
    • Lecture notes: 1.4