Infinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university.By the way, there is a group of very strict mathematicians …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 thisFor many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway;
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They often come with a topology and we can therefore get a lot out of studying dense subspaces, …What do finite, infinite, countable, not countable, countably infinite mean?[duplicate] ask question asked 13 years, 2 months ago modified 13 years, 2 months agoInfinite geometric series formula derivation ask question asked 12 years, 7 months ago modified 4 years, 9 months ago