I like most fields of analysis, but I got too far into analysis too quickly and it limited my exposure to other fields, recently I've been thinking more about algebra and its been really interesting so far.
we're talking about honours year problems, and they're pretty different from phd problems. you want things in which you could get reasonable progress in 9 months
but not too much progress, otherwise the problem is too easy
Probably very naive of me, but it seems like one of those things that someone with a fresh mind could come and solve with relatively simple methods because they aren't clouded by all the advanced techniques.
@JonasTeuwen i was talking earlier about doing a lot of broad math, not focusing on one thing to early. that way you can meet a lot of people, see what opportunities are there, and take them
@JonasTeuwen since it's not in my honours field at all, and it had never even occured to me - but i did a course with pierre and he could see that i cared about my work
@BenjaLim Haha, it is a joke. Australia seems nice to me, and it is also nice that you guys will be there, at least I will already know somebody by name.
@MattN. Sorry, I didn't mean to sound like you don't do a lot of study, I was just wondering because normally one does 4 subjects per semester don't they?
@MattN. Not so, I took Functional Analysis last semester and was hoping I could help but many of the questions were harder than the level of questions given at my course.
@RagibZaman Well yes. The dudes inventing these questions are not trying to make questions from which you learn something because they're juuust the right level of difficulty but rather they try to impress and amuse themselves by coming up with clever questions that are interesting to them.
@BenjaLim Well that is not relevant, is it? : ) But as you know: I know his name, his favourite crisp bread and the colour of his favourite underwear.
@BenjaLim I think I made the right choice, I'm not as good at algebra as you so I think I'll be fine waiting another year to learn those. By dropping that I focussed more on my Rings/Fields/Galois Theory class and I understood that better.
What would be the advantage of accepting non-measurable sets?
I personally feel that non-measurable sets only exist because of infamous Banach-Tarski paradox...