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Results tagged with big-list
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user 10605
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.
7
votes
The main theorems of category theory and their applications
The method of forcing in mathematical logic.
If you want to prove the consistency of axiom systems, you can just explicitly present a model of it. To prove results about set theory itself, like the i …
24
votes
Nonequivalent definitions in Mathematics
Antisymmetrization and symmetrization of tensors. Should we divide it by $(n!)$ ? This affects the relations between tensor and (anti-)symmetric algebra, the theory over $\mathbb Q$ and $\mathbb Z$ an …
8
votes
What is Yoneda's Lemma a generalization of?
I like to view Yoneda's lemma as a generalization of the description of Galois coverings in topology. To any functor $F: C \to Set$ we can associate its category of elements $El(F)$. Its objects are p …
4
votes
Interesting Calculus Questions/Exercises
That's not really much of a problem, but still a nice stumbling block for inexperienced and an example of the evilness of formal symbol manipulations, even innocent-looking ones.
Consider a function …