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Results tagged with big-list
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user 6871
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.
31
votes
Most intricate and most beautiful structures in mathematics
One of the most beautiful structures, in my mind, is the classical Hopf fibration, which allows you to visualize the $3$-sphere $S^3$ as a smooth circle bundle over the $2$-sphere. When you view $S^3$ …
22
votes
Examples of great mathematical writing
Every differential geometer should read at least the first two volumes of Spivak's A Comprehensive Introduction to Differential Geometry. In particular, volume 2 is an absolute gem. Not only does it r …
2
votes
Video lectures of mathematics courses available online for free
There are lots of links to various pages filled with online video lectures here.
Go to "Links" on the left hand side.
Some of the links are broken or out of date, but there's still a ton of good stuff …
19
votes
Open questions in Riemannian geometry
There is also "Review of Geometry and Analysis" by S.-T. Yau (Asian Journal of Mathematics, vol. 4, no. 1, pp. 235-278, March 2000), where he discusses many big open problems in Riemannian geometry, s …
11
votes
Most memorable titles
I like Cliff Taubes's simple titles: "Gr -> SW", "SW -> Gr", and "SW = Gr". (Okay, they each also have a subtitle, but the first part is enough to tell the reader exactly what the paper is about.)