Are you familiar with Taylor series? Series solutions of differential equations at regular points? From what foundation/background are you approaching this problem?

For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway; they often come with a topology and we can therefore get a lot out of studying dense …

May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.

Jun 6, 2020 · The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about $\infty$ or infinite cardinals …

6 Show that if a $\sigma$-algebra is infinite, that it contains a countably infinite collection of disjoint subsets. An immediate consequence is that the $\sigma$-algebra is uncountable.

Aug 12, 2015 · However, it then simply states that these three spaces are infinite-dimensional normed vector spaces. The only thing mentioned in my notes so far is in relation to finite …

Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 7 months ago Modified 4 years, 1 month ago

Why is the infinite sphere contractible? I know a proof from Hatcher p. 88, but I don't understand how this is possible. I really understand the statement and the proof, but in my imagination this...

May 24, 2016 · Does the infinite product of probability spaces always exist (using the sigma algebra that makes all projections measurable and providing a probability measure on this …

Apr 24, 2013 · An infinite union of closed sets is a closed set? Ask Question Asked 12 years, 6 months ago Modified 9 months ago