145A Winter 2025 - Discussion

Course Info: Introduction to Topology

• Office Hours: 

  • Location - MSE113

  • Time: Fridays 5pm-6pm

Complete Handout Document 🆕

• Compiled PDF Notes

Selected Homework Solutions 

• Homework 4 Solutions

• Homework 6

• Homework 7

• Homework 8

Week 1

• Discussion - 10th Jan

  • Topics: Existential quantification, interior points on R

  • Worksheet 1

Week 2

• Discussion - 17th Jan

  • Topics: Accumulation points, open and closed sets on R

  • Worksheet 2

  • Checkpoint 1

Week 3

• Discussion - 24th Jan

  • Topics: Convergence and Continuity

  • Worksheet 3

  • Checkpoint 2

Week 4

• Discussion - 31st Jan

  • Topics: Metric Space

  • Worksheet 4

  • Checkpoint 3

Week 5

• Discussion - 7th Feb

  • Topics: Sequential convergence in metric spaces

  • Worksheet 5

  • Checkpoint 4

Week 6

• Discussion - 14th Feb

  • Topics: Continuity, interior and closure for metric spaces

  • Worksheet 6 - solution to first part here

  • Checkpoint 5

Week 7

• Discussion - 21st Feb

  • Topics: Abstract Topological Spaces

  • Worksheet 7

  • Checkpoint 6

Week 8

• Discussion - 28th Feb

  • Topics: Subspace and Boundaries

  • Worksheet 8

  • Checkpoint 7

Week 9

• Discussion - 7th Mar

  • Topics:  Bases

  • Worksheet 9

  • Checkpoint 8

Week 10

• Discussion - 14th Mar

  • Topics: More on Subspace and Bases

  • Worksheet 10

  • Checkpoint 9