Recent content by QuanPenguin

No, take f : R discrete -> R Euclidean which maps x -> x, then f is obviously bijective, and it's continuous because every set is open in the domain, but for the inverse function, the pre-image of a singleton set is a singleton set which is not open in the euclidean topology.

Hello there. Sorry about the lack of updates but I've had the combination of not having a job, being very ill and moving home in the last week. I should be able to pump out videos starting early next week. I also want to make sure I introduce nets perfectly, and make sure that all my definitions...

So much to add, I'm going to draw up a long term plan, it'll probably be around 100 videos before I even touch compactness. Amazing

Thanks! was a fun week, exhausting though. I did retake after retake of the metric equivalences video because I kept convincing myself it was wrong, by the time I'd redone it about four times I sounded so bored I had to retake it again :D Anyway, I sketched up a plan for next week, wondering if...

Thanks for the corrections, I'll get on that. I was having a similar idea actually, I was thinking that around exam time I would ask for sample questions, mostly things that people are struggling on or have seen in a practise paper and try and whizz through a bunch of them on video. Now that...

Amazing suggestions, I guess 200 videos would be appropriate :D Just wondering if you managed to introduce the videos to your students yet, I imagine given the point in the semester you're probably far far ahead of what I've covered so far. I guess I need to speed up to get enough videos out...

Thank you so much for the encouragement, I will certainly be dedicating more time to this. I'm really not sure what to ask for in the way of contributions, obviously I've only been doing this a very short time so right now I'm just trying to get some exposure and some constructive feedback...

Hello, I am currently creating an ongoing series of Topology video lectures and looking for students of an appropriate level for some accurate feedback. They are much in the style of the popular Khan Academy. Link Thank you for your time.