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Results tagged with big-list
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user 2508
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.
-6
votes
What are the most overloaded words in mathematics?
Space
Affine space
Banach space
Cauchy space
Euclidean space
Function space
Hardy space
Hilbert space
Inner product space
Kolmogorov space
Krein space
Klein space
Pontrjagin space
Lp spac …
3
votes
What are the most overloaded words in mathematics?
Reflexive (relation, locally convex (Banach) space, operator algebra, module, a.s.o.)
It is an adjective.
Proposition Every infinite dimensional von Neumann algebra is reflexive, and also
it is not …
172
votes
Examples of common false beliefs in mathematics
"Any subspace of a separable topological space is separable, too." Sounds natural.
2
votes
Examples of inequality implied by equality.
Another "Hilbertian" example: Bessel's inequality follows from Bessel's equality. See, e.g., http://www.math.uri.edu/~quinn/web/mth629_Bessels.pdf.
And now (maybe off-topic, but the question is rathe …
6
votes
Which math paper maximizes the ratio (importance)/(length)?
My favourite is the following tiny, self-contained article:
"Uniform equivalence between Banach Spaces"
by Israel Aharoni & Joram Lindenstrauss,
Bulletin of the
American Mathematical Society,
Volume 8 …
2
votes
What are some famous rejections of correct mathematics?
This is somehow related to, yet it is not about a specific result, but it's about a life.
Namely, according to these sources: https://en.wikipedia.org/wiki/Nikolai_Luzin#The_Luzin_affair_of_1936, and
…
6
votes
Famous mathematical quotes
Mathematicians are born, not made.
-- Henri Poincare