MA4266: Topology

Spent the day studying this module. It's the main topic for my honours project as well, but that doesn't mean I am that fantastic at it. Anyway, I'm not exactly done with this module yet, today I started on my helpsheet. I managed to transform the following pages of notes...



into this:



Yup, that's what helpsheets it all about, a way of making NUS students go blind! Spent 4 hours on that one, I would say that it was a pretty good day! Tomorrow will do the remaining pages. And then the next day the tutorials and all.

Anyway, a lot of people have asked me what topology is all about. Well, at a general lower level, its about shapes, how we can stretch and twist a shape into another. For example, take a basketball, and stretch it (somehow) into a rugby ball shape. In topology, the 2 shapes are considered the same or homeomorphic.

Topology is one of the more advance branches of mathematics, it combines disciplines from analysis and algebra and a little bit of combinatorics. So, it's really an all in one subject. Quite scary, since I'm weak at algebra, I though it would be a fully analysis based module! Apparently not! But it was a good module to take. Now I can understand my project a lot better!