First section here was on homeomorphisms, which is essentially a brief intro in the foundations of topology. I've been wanting to study topology for years, but as is the trend, I didn't have time to dwell. Again, we don't get examined on topology, so this will be something I'd want to come back to after my final exam.<\/p>\n\n\n\n
Next up was \"closed and open sets revisited\", which is practically exactly what you expect. <\/p>\n\n\n\n
The third section introduced the concept to connectedness properly, and the fourth went on to explore connectedness in Euclidean space.<\/p>\n\n\n\n
At this point, I'd learned enough to tackle the assignment questions. I didn't read through the last two chapters, \"path-connected spaces\" and \"the topologists cosine\", but I didn't feel too guilty about this. I'm already vaguely familiar with path-connected spaces, and the last section seemed to be unlikely to be examined. I'll review both of these sections during my revision period though.<\/p>\n\n\n\n
All in all, this chapter was mercifully easy to understand.<\/p>\n","protected":false},"excerpt":{"rendered":"
First section here was on homeomorphisms, which is essentially a brief intro in the foundations of topology. I've been wanting to study topology for years, but as is the trend, I didn't have time to dwell. Again, we don't get examined on topology, so this will be something I'd want to come back to after … Continue reading Chapter 21 of 24 - Connectedness<\/span>