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user 3634
Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
7
votes
Surprising and Useful Physical Intuition for Mathematical Objects
Archimedes figured out the area of a parabolic section by slicing it into pieces and moving the pieces to the other side of an imaginary lever and observing that they balance a certain triangle.
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Why does homotopy behave well with respect to fibrations and homology with respect to cofibr...
Fibrations are defined as target-type concepts -- they have good formal homotopy properties when you map into them, for example, if you apply the functor $\pi_n(-) = [S^n,-]$.
Now I'll subject you to …
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