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Results tagged with big-list
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user 9352
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.
24
votes
What are some examples of colorful language in serious mathematics papers?
Spivak, A Comprehensive Introduction to Differential Geometry, Volume 1, p.94,
Now that we have a well-defined bundle
map $TM \to T\;'M$ (the union of all
$\beta_x^{-1} \circ \alpha_x$), it is …
11
votes
Ways to prove the fundamental theorem of algebra
I'm partial to Milnor's proof in Topology from the Differentiable Viewpoint, a slightly simpler variant of the "every complex non-constant polynomial $p$ is surjective" proof given above, published so …
5
votes
What do named "tricks" share?
While tricks have names because they wind up being associated with with some particular mathematician, tricks are tricks because something important goes on "behind the curtain."
For instance, to pro …
3
votes
What is your favorite proof of Tychonoff's Theorem?
The non-standard analysis proof is an interesting "application" of the ultrafilter proof: a topological space $A$ is compact if and only if every point in the associated "non-standard topological spac …