What do finite, infinite, countable, not countable, countably infinite mean?[duplicate] ask question asked 13 years, 2 months ago modified 13 years, 2 months agoFor 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 subspaces, …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 who …Why is the infinite sphere contractible?
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Kamehameha Schools Maui Campus | PBR HAWAII & ASSOCIATES, INC. of Infinite Campus Kamehameha Grades Dropping? Blame THIS New Policy! .

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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 thisInfinite geometric series formula derivation ask question asked 12 years, 7 months ago modified 4 years, 9 months ago