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Search options questions only not deleted user 5627

Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

102 votes
21 answers
15k views

Proofs of the uncountability of the reals

Recently, I learnt in my analysis class the proof of the uncountability of the reals via the Nested Interval Theorem (Wayback Machine). At first, I was excited to see a variant proof (as it did not us …
Unknown's user avatar
  • 2,855
31 votes
11 answers
16k views

Is there any geometry where the triangle inequality fails?

We know from elementary school that the triangle inequality holds in Euclidean geometry. Some where in High School or in Univ., we come across non-Euclidean geometries (hyperbolic and Riemannian) and …
Unknown's user avatar
  • 2,855
3 votes
5 answers
4k views

Fundamental theorems [closed]

I am certainly sure that any one who has read Gil Kalai's witty community wiki has benefited a lot. Here I follow a similar track in asking this question. So let's compose a list of fundamental theore …
1 vote
1 answer
7k views

Websites hosting free math ebooks. [duplicate]

Possible Duplicates: Free, high quality mathematical writing online? Most helpful math resources on the web A lot has been said about different kinds of math resources here in MO. To menti …
-1 votes
1 answer
681 views

List of sites related to the Riemann Hypothesis and recent developments?

I think it is helpful to keep a hoard of helpful sites pertaining to unsolved problems and pay a regular/casual visit to them. Please when you answer, add a comment on the content of the site for fas …
-2 votes
1 answer
1k views

Unpopular "elementary" theorems/identities to impress an audience of mathematicians. [closed]

This question grew out of my recent job interview. Since the interviewers were math professors, I had a hard time searching for interesting elementary theorems in case I got asked for one. I thought t …