Lecture notes for MATH 535

During Fall 2020, I taught MATH535 Topology, syllabus of which can be reached from here. Due to the COVID-19 pandemic, classes were held online and we had live lectures every week. These are the lecture notes of each live lecture.*

In order to prepare these notes, I mainly followed “Topology” by Munkres as the course textbook. However, I changed the order and extent of some topics. For certain topics, I also used “Topology” by Waldmann and introductory parts of “A course on Borel set” by Srivastava. I sometimes consulted to MathOverflow, MSEProofWiki, π-Base and many other sources that I found via Google searches, e.g. Mike Shulman’s notes for a talk, Pete Clark’s notes etc.

Use these lecture notes with caution, it is likely that there are many typos and errors. Please let me know of these if you spot any. Here are the notes of each lecture:


*: Due to privacy issues, I cannot provide the video recordings of lectures without obtaining permission from each student that attended the lectures, which I have not done.