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user 3634
8
votes
What does the adjective "natural" actually mean?
According to Mac Lane (as I remember it from Categories for the Working Mathematician),
Eilenberg and Mac Lane invented categories so they could talk about functors, and they
wanted to talk about fun …
- 12.5k
31
votes
Main statement as theorem or corollary
Another approach is to present both as theorems, but to present only A as a `marquee result' in the introduction, mentioning that it follows from the stronger but more technical B.
- 12.5k
58
votes
Can a mathematical definition be wrong?
I was involved in such a case. My thesis advisor (S. Husseini) and his coauthor (E. Fadell)
defined the "category weight" of a cohomology class in a way that allowed them to prove the theorem they wa …